(a) Median
(b) Partition value
(c) Mode
(d) None of these

Answer : (d) None of these

Question : Change of origin and scale is used for calculation of the:

(a) Arithmetic mean
(b) Geometric mean
(c) Weighted mean
(d) Lower and upper quartiles

Answer : (a) Arithmetic mean

Question : Arithmetic mean of these items 5, 7, 9, 15, 20 is:

(a) 10
(b) 10.2
(c) 11.2
(d) 12

Answer : (c) 11.2

Question : Arithmetic mean of these items: 10,15, X, 20, 30 is 20. Find out the missing item.

(a) 10
(b) 15
(c) 5
(d) 25

Answer : (d) 25

Question : While computing the arithmetic mean of a frequency distribution, the each value of a class is considered equal to:

(a) Class mark
(b) Lower limit
(c) Upper limit
(d) Lower class boundary

Answer : (b) Lower limit

Question : Arithmetic mean of a series is 15 and if 5 is added in all the items of this series, the new arithmetic mean will be:

(a) 5
(b) 20
(c) 18
(d)10

Answer : (b) 20

Question : Which of the following is not a measure of central tendency?

(a) Mean
(b) Mode
(c) Standard deviation
(d) Median

Answer : (c) Standard deviation

Question : Which is not a method to find arithmetic mean?

(a) Direct method
(b) Short-cut method
(c) Step-deviation method
(d) Karl Pearson’s method

Answer : (d) Karl Pearson’s method

Question : The sample mean is a:

(a) Parameter
(b) Statistic
(c) Variable
(d) Constant

Answer : (b) Statistic

Question : Assumed mean is taken in which method?

(a) Direct method
(b) Step-deviation method
(c) Karl Pearson’s method
(d) Spearman’s method

Answer : (b) Step-deviation method

Question : The sum of deviations taken from mean is:

(a) Always equal to zero
(b) Some times equal to zero
(c) Never equal to zero
(d) Less than zero

Answer : (a) Always equal to zero

Question : Sum of deviations of different values from arithmetic mean is always equal to:

(a) zero
(b) one
(c) less than one
(d) more than one

Answer : (a) zero

Question : Which of the following statements is always true?

(a) The mean has an effect on extreme scores
(b) The median has an effect on extreme scores
(c) Extreme scores have an effect on the mean
(d) Extreme scores have an effect on the median

Answer : (c) Extreme scores have an effect on the mean

Question :  Mean of 0.3, 5, 6, 7, 9,12, 0.6 is:

(a) 4.9
(b) 5.7
(c) 5.6
(d) None of these

Answer : (b) 5.7

Question :  Simple average is sometimes called:

(a) Unweighted average
(b) Weighted average
(c) Relative average
(d) None of these

Answer : (a) Unweighted average

Question :  For a certain distribution, if ∑(X -20) = 25, ∑(X- 25) =0, and ∑(X-35) = -25, then is equal to:

(a) 20
(b) 25
(c) -25
(d) 35

Answer : (b) 25

Question :  __________ is used when the sum of deviations from the average should be least.

(a) Mean
(b) Mode
(c) Median
(d) None of these

Answer : (a) Mean

Question :  The population mean µ is called:

(a) Discrete variable
(b) Continuous variable
(c) Parameter
(d) Sampling unit

Answer : (c) Parameter

Question :  The total of all the observations divided by the number of observations is called:

(a) Arithmetic mean
(b) Geometric mean
(c) Median
(d) Harmonic mean

Answer : (a) Arithmetic mean

Question :  Mean should be:

(a) Simple
(b) Based upon all items
(c) Rigidly defined
(d) Ail the above

Answer : (a) Simple

Question :  The algebraic sum of deviations of 8,1,6 from the A.M. viz., 5 is:

(a) -1
(b) 0
(c) 1
(d) None of these

Answer : (b) 0

Question :  The sum of the squares of the deviations of the values of a variable is least when the deviations are measured from:

(a) Harmonic mean
(b) Geometric mean
(c) Median
(d) Arithmetic mean

Answer : (d) Arithmetic mean

Question :  Average value of given variables is known as:

(a) Median
(b) Mean
(c) Mode
(d) Index Number

Answer : (b) Mean

Question :  The elimination of extreme scores at the bottom of the set has the effect of:

(a) Lowering the mean
(b) Raising the mean
(c) No effect
(d) None of the above

Answer : (b) Raising the mean

Question :  Measures of central tendency are known as:

(a) Difference
(b) Averages
(c) Both
(d) None of these

Answer : (b) Averages

Question :  The arithmetic mean is highly affected by:

(a) Moderate values
(b) Extremely small values
(c) Odd values
(d) Extremely large values

Answer : (d) Extremely large values

Question :  The A.M. of 1,3, 5, 6, x, 10 is 6. The value of x is:

(a) 10
(b) 11
(c) 12
(d) None of these

Answer : (b) 11

Question :  Step deviation method or coding method is used for computation of the:

(a) Arithmetic mean
(b) Geometric mean
(c) Weighted mean
(d) Harmonic mean

Answer : (a) Arithmetic mean

Question :  The values of all items are taken into consideration in the calculation of:

(a) Median
(b) Mode
(c) Mean
(d) None of these

Answer : (c) Mean

Question :  Sum of the deviations about mean is:

(a) Zero
(b) Minimum
(c) Maximum
(d) One

Answer : (a) Zero

Question :  Scores that differ greatly from the measures of central tendency are called:

(a) Raw scores
(b) The best scores
(c) Extreme scores
(d) Z-scores

Answer : (c) Extreme scores

Question :  Measures of central tendency for a given set of observations measures:

(a) The scatterness of the observations
(b) The central location of the observations
(c) Both (a) and (b)
(d) None of these

Answer : (b) The central location of the observations

Question :  If there are two groups containing 30 and 20 observations and having 50 and 60 as arithmetic means, then the combined arithmetic mean is:

(a) 51
(b) 54
(c) 53
(d) 52

Answer : (b) 54

Question :  If a constant value is added to every observation of data, then arithmetic mean is obtained by:

(a) Subtracting the constant
(b) Adding the constant
(c) Multiplying the constant
(d) Dividing the constant

Answer : (b) Adding the constant

Question :  The mean of 12 numbers is 24. If 5 is added in every number, the new mean is:

(a) 25
(b) 84
(c) 29
(d) None of these

Answer : (c) 29

Question :  Sum of square of the deviations about mean is:

.(a) Maximum
(b) Minimum
(c) Zero
(d) None of these

Answer : (b) Minimum

Question :  The measure of central tendency listed below is:

(a) The raw score
(b) The mean
(c) The range
(d) Standard deviation

Answer : (b) The mean

Question :  __________ average is obtained by dividing the total of set of observations by their number.

(a) Weighted
(b) Simple
(c) Both (a) and (b)
(d) Neither (a) nor (b)

Answer : (b) Simple

Question :  Any measure indicating the centre of a set of data, arranged in an increasing or decreasing order of magnitude, is called a measure of:

(a) Skewness
(b) Symmetry
(c) Central tendency
(d) Dispersion

Answer : (c) Central tendency

Question :  The elimination of extreme scores at the top of the set has the effect of:

(a) Lowering the mean
(b) Raising the mean
(c) No effect
(d) Difficult to tell

Answer : (a) Lowering the mean

Question. Median divides a series into how many parts?

(a) Two
(b) Three
(c) Four
(d) All of these

Answer : (a) Two

Question. When the values in a series are not of equal importance, we calculate the:

(a) Arithmetic mean
(b) Geometric mean
(c) Weighted mean
(d) Mode

Answer : (c) Weighted mean

Question. Which of the following is a kind of partition value?   

(a) Arithmetic mean
(b) Median
(c) Quartile
(d) Both (b) and (c)

Answer : (c) Quartile

Question. Dividing a series into ten equal parts is called: 

(a) decile
(b) quartile
(c) percentile
(d) none of these

Answer : (a) decile

Question. For calculating median, all items of the series are arranged in:   

(a) descending order
(b) ascending order
(c) ascending or descending order
(d) none of these

Answer : (c) ascending or descending order

Question. Quartile is a type of:   

(a) mathematical average
(b) statistical average
(c) partition value
(d) none of these

Answer : (c) partition value

Question. Mode refers to that value of a series that occurs ___________ times in the series. 

(a) zero
(b) infinite
(c) maximum
(d) minimum

Answer : (c) maximum

Question. Out of the following, by which method mode can be calculated? 

(a) Inspection method
(b) Grouping method
(c) Both (a) and (b)
(d) None of these

Answer : (c) Both (a) and (b)

Question. Median of these numbers: 3, 5, 7, 9, 12 is:

(a) 3
(b) 6
(c) 7
(d) 12

Answer : (c) 7

Question. Formula of D7 in individual series is:   

(a) Size of (+1/100)th item
(b) Size of 7(+1/10)th item
(c) Size of 7(/10)th item
(d) none of these

Answer : (b) Size of 7(+1/10)th item

Question. The sample mean of first n natural numbers is: 
(a) n(n+ 1) / 2
(b) (n+ 1) / 2
(c) n/2
(d) (n+ 1) / 2

Answer : (d) (n+ 1) / 2

Question. In a distribution, the value around which the items tend to be most heavily concentrated is called: 

(a) Median
(b) Mean
(c) Third quartile
(d) Mode

Answer : (d) Mode

Question. When all the values in a series occur the equal number of times, then it is not possible to calculate the: 

(a) Arithmetic mean
(b) Geometric mean
(c) Harmonic mean
(d) Weighted mean

Answer : (d) Weighted mean

Question. The sum of absolute deviations is minimum when taken from.

(a) Arithmetic Mean
(b) Median
(c) Mode
(d) None of these

Answer : (b) Median

Question. For a certain distribution, if Σ(X -20) = 25, Σ(X- 25) =0, and Σ(X-35) = -25, then is equal to: 

(a) 20
(b) 25
(c) -25
(d) 35

Answer : (b) 25

Question. The values of extreme items do not influence the average in case of 

(a) Median
(b) Mean
(c) Mode
(d) None of these

Answer : (a) Median

Question. Median:

(a) Can be determined graphically
(b) Not affected by extreme items
(c) Cannot be determined
(d) Involves complex calculations

Answer : (a) Can be determined graphically

Question. Which of the following is not as measure of central tendency? 

(a) Mean
(b) Median
(c) Mode
(d) Range

Answer : (d) Range

Question. The sum of deviations is zero when deviations are taken from: 

(a) Mean
(b) Median
(c) Mode
(d) Geometric mean

Answer : (a) Mean

Question. The second quartile is known as 

(a) Median
(b) lower quartile
(c) Upper quartile
(d) None of these

Answer : (a) Median

Question. The mean for a set of data obtained by assigning each data value a weight that reflects its relative importance within the set, is called: 

(a) Geometric mean
(b) Harmonic mean
(c) Weighted mean
(d) Combined mean

Answer : (c) Weighted mean

Question. The number of observations smaller than is the same as the number larger than it.   

(a) Median
(b) Mode
(c) Mean
(d) None of these

Answer : (a) Median

Question. Graphic location of mode is done with reference to: 

(a) Cumulative frequency curve
(b) Frequency Polygon
(c) Frequency Curve
(d) Histogram

Answer : (d) Histogram

Question. If =100 and Y=2X – 200, then mean of Y values will be:   

(a) 0
(b) 2
(c) 100
(d) 200

Answer : (a) 0

Question. The most widely average used is: 

(a) Arithmetic mean
(b) Median
(c) Mode
(d) Geometric mean

Answer : (a) Arithmetic mean

Question. For open-end classification, which of the following is the best measure of central tendency 

(a) Arithmetic Mean
(b) Geometric Mean
(c) Median
(d) Mode

Answer : (c) Median

Question. What do you call the partition value which divides the series into two equal pats?   

(a) Upper Quartile
(b) Median
(c) Mode
(d) Lower Quartile

Answer : (c) Mode

Question. The middle most value of a set of observations is   

(a) Median
(b) Mode
(c) Mean
(d) None of these

Answer : (a) Median

Question. Mode of a series is.   

(a) An average value
(b) A middle value
(c) Highest frequency value
(d) None of above.

Answer : (c) Highest frequency value

Question. Step deviation method or coding method is used for computation of the:   

(a) Arithmetic mean
(b) Geometric mean
(c) Weighted mean
(d) Harmonic mean

Answer : (a) Arithmetic mean

Question. If mean of a series is 32 and median is 40, what would be the value of mode?   

(a) 54
(b) 58
(c) 56
(d) 38

Answer : (c) 56

Question. Most frequent occurring value in a series is called:   

(a) Mode
(b) Median
(c) Mean
(d) Quartiles

Answer : (a) Mode

Question. What will be the median of the following series?
2, 3, 4, 8, 7, 12, 10, 11

(a) 7
(b) 7.5
(c) 8
(d) 8.5

Answer : (b) 7.5

Question. Refer to the data given in question no. 55, what will be the value of Q1?

(a) 0.25
(b) 4.25
(c) 5.75
(d) 8.25

Answer : (a) 0.25

Question. In order to calculate mean of ‘n’ natural numbers, the number of items will be equal to

(a) 100
(b) 1000
(c) n
(d) Infinity

Answer : (c) n

Question. Which of the following is correct for an asymmetrical distribution (positively skewed)?

(a) Mean > Median > Mode
(b) Median > Mode > Mean
(c) Mean = Median = Mode
(d) Mode > Median > Mean

Answer : (a) Mean > Median > Mode

Question. In an asymmetrical distribution, if mean is 20 and median is 25, what will be the value of mode?

(a) 22
(b) 25
(c) 30
(d) 35

Answer : (d) 35

Question. The lowest value of highest 25 percent items of the series is known as lower quartile. Choose from the options below.

(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Answer : (b) False

Question. The sum of square of deviations from actual mean is

(a) minimum
(b) maximum
(c) zero
(d) not defined

(a) minimum

Question. Simple arithmetic mean can also be referred to as

(a) weighted mean
(b) unweighted mean
(c) relative mean
(d) geometric mean

Answer : (b) unweighted mean

Question. Choose the incorrect statement from the given below.

(a) For a symmetrical distribution, mean, median and mode are equal to each other.
(b) Mid-value series need to be converted in normal frequency distribution in order to calculate median.
(c) Inclusive series need to be converted into exclusive series in order to calculate arithmeticmean.
(d) Mode calculated from the empirical relation is different from value calculated by statistical calculation.

Answer : (c) Inclusive series need to be converted into exclusive series in order to calculate arithmeticmean.

Question. Quartile group is decided in continuous series by using the following formula

(a) (N/4)th term
(b) 3 (N/4)th term
(c) [(N+1)/ 4]th term
(d) Both (a) and (b)

Answer : (d) Both (a) and (b)

Question. Calculation of arithmetic mean for an inclusive frequency distribution is the same as in case of exclusive frequency distribution. The given statement is

(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Answer : (a) True

Question. Which of the following are correct for a symmetrical distribution?

(a) Mean > Median > Mode
(b) Median > Mode > Mean
(c) Mean = Median = Mode
(d) Mode > Median > Mean

Answer : (c) Mean = Median = Mode

Question. 5 is the mode of the numbers 2, 4, 3, 5, 5, 3, 2. Choose from the options below.

(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Answer : (b) False

Question. A frequency distribution can have

(a) two means
(b) two medians
(c) two modes
(d) None of these

Answer : (c) two modes

Question. Quartiles can be located graphically using

(a) less than ogive only
(b) more than ogive only
(c) Both less than ogive and more than ogive together
(d) Either less than ogive or more than ogive

Answer : (d) Either less than ogive or more than ogive

Question. Quartile of a series is based on which of the following?

(a) Middle 50%items of the series
(b) Upper 25%items of the series
(c) Lower 25%items of the series
(d) All the items of the series

Answer : (a) Middle 50%items of the series

Question. When arithmetic mean is calculated using assumed mean and the sum of deviation from assumed mean is zero, which of the below statement is correct in that situation?

(a) Assumed mean is equal to actual mean
(b) Assumed mean is less than actual mean
(c) Assumed mean is more than actual mean
(d) It’s an exception

Answer : (a) Assumed mean is equal to actual mean

Question. The most used method of central tendency is median. Choose from the options below.

(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Answer : (b) False

Question. The sum of differences between the actual values and the mean is: 

(a) 2
(b) –1
(c) 0
(d) 1

Answer : (c) 0

Question. Half of the numbers in an ordered set have values less than the ________ and half will have values greater than the ________. 

(a) mean, median
(b) median, median
(c) mode, mean
(d) None of these

Answer : (b) median, median

Question. Consider the following frequency distribution:

The upper limit of the median class is:

(a) 17
(b) 17.5
(c) 18
(d) 18.5

Answer : (b) 17.5

Question. The median of 27, 30, 26, 44, 42, 51, 37 is: 

(a) 30
(b) 42
(c) 44
(d) 37

Answer : (d) 37

Question. For an even number of values the median is the: 

(a) average of two middle values
(b) middle value
(c) both (a) and
(b) (d) None of these

Answer : (a) average of two middle values

Question. In the case of a continuous frequency distribution, the size of the _________ item indicates class interval in which the median lies.

(a) (n – 1)/2th
(b) (n + 1)/2th
(c) n/2th
(d) None of these

Answer : c) n/2th

Question. For ordering shoes of various sizes for resale, a _________ size will be more appropriate.

(a) median
(b) modal
(c) mean
(d) None of these

Answer : (b) modal

Question. __________ is called a positional measure. 

(a) Median
(b) Mode
(c) Mean
(d) None of these

Answer : (a) Median

Question. 50% of actual values will be below and 50% of will be above _______. 

(a) mode
(b) median
(c) mean
(d) None of these

Answer : (b) median

Question. Extreme values have _______ effect on mode.

(a) high
(b) low
(c) no
(d) None of these

Answer : (d) None of these

Question. Extreme values have _______ effect on median. 

(a) high
(b) low
(c) no
(d) None of these

Answer : (c) no

Question. ________ is used when representation value is required & distribution is asymmetric.

(a) Mode
(b) Mean
(c) Median
(d) None of these

Answer : (b) Mean

Question. The cumulative frequency distribution is used for: 

(a) Median
(b) Mode
(c) Mean
(d) None of these

Answer : (a) Median

Question. Mean of 0, 3, 5, 6, 7, 9, 12, 0, 2 is: 

(a) 4.9
(b) 5.7
(c) 5.6
(d) None of these

Answer : (a) 4.9

Question. Median of 15, 12, 6, 13, 12, 15, 8, 9 is: 

(a) 13
(b) 8
(c) 12
(d) 9

Answer : (c) 12

Question. Median of 0.3, 5, 6, 7, 9, 12, 0, 2 is: 

(a) 7
(b) 6
(c) 3
(d) 5

Answer : (d) 5

Question. Mode of 0, 3, 5, 6, 7, 9, 12, 0, 2 is: 

(a) 6
(b) 0
(c) 3
(d) 5

Answer : (b) 0

Question. Mode of 15, 12, 5, 13, 12, 15, 8, 8, 9, 9, 10, 15 is: 

(a) 15
(b) 12
(c) 8
(d) 9

Answer : (a) 15

Question. Median of 40, 50, 30, 20, 25, 35, 30, 30, 20, 30 is:

(a) 25
(b) 30
(c) 35
(d) None of these

Answer : (b) 30

Question. Mode of 40, 50, 30, 20, 25, 35, 30, 30, 20, 30 is: 

(a) 25
(b) 30
(c) 35
(d) None of these

Answer : (b) 30

Question. Mean of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is: 

(a) 44
(b) 43
(c) 42
(d) 41

Answer : (b) 43

Question. If the same amount is added to or subtracted from all the values, the mean shall increase or decrease by the ________ amount. 

(a) big
(b) small
(c) same
(d) None of these

Answer : (c) same

Question. If each item is reduced by 15 Arithmetic Mean is _________.

(a) reduced by 15
(b) increased by 15
(c) reduced by 30
(d) reduced by 7.5

Answer : (a) reduced by 15

Question. The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below:

The number of atheletes who completed the race in less then 14.6 seconds is:

(a) 11
(b) 71
(c) 82
(d) 130

Answer : (c) 82

Question. The class having maximum frequency is called: 

(a) modal class
(b) median class
(c) mean class
(d) All of these

Answer : (a) modal class

Question. For determination of mode, the class intervals should be ______. 

(a) overlapping
(b) maximum
(c) minimum
(d) None of these

Answer : (a) overlapping

Question. For the values of a variable 3, 1, 5, 2, 6, 8, 4 the median is:

(a) 3
(b) 5
(c) 4
(d) None of these

Answer : (c) 4

Question. The median of the numbers 11, 10, 12, 13, 9 is _______. 

(a) 12.5
(b) 12
(c) 10.5
(d) 11

Answer : (d) 11

Question. The mode of the numbers 7, 7, 7, 9, 10, 11, 11, 11, 12 is: 

(a) 11
(b) 12
(c) 7
(d) Both (a) and (c)

Answer : (d) Both (a) and (c)

Question. Construction of a cumulative frequency table is useful in determining the ________.

(a) mean
(b) median
(c) mode
(d) All of these

Answer : (b) median

Question. In the formula X = A + Σfd/Σf, for finding the mean of grouped data d is deviation from A of:

(a) lower limits of the classes
(b) upper limits of the classes
(c) mid points of the classes
(d) frequencies of the class marks

Answer : (c) mid points of the classes

Question. While computing mean of grouped data, we assume that the frequencies are:

(a) evenly distributed over all the classes
(b) centred at the classmarks of the classes
(c) centred at the upper limits of the classes
(d) centred at the lower limits of the classes

Answer : (b) centred at the classmarks of the classes

Fill in the blank.

Question. The _______ is always between the ___________ and the______ . (mode/arithmetic mean/median) 

Answer : median, arithmetic mean, mode

Question. Find the mean of the following distribution is __.

 

Question. Arithmetic mean is equal to median and mode when the distribution is _______.

Answer : symmetric

Question. Each value is considered as many times as it occurs for _______. (simple average/weighted average) 

Answer : weighted average

Question. _______ is a value which is obtained by dividing the sum of values of items by the number of items. 

Answer : Arithmetic mean

Question. The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given
as follows. The median bowling speed is __.

109.17 km/h

Question. Usually _______ is the best measure of central tendency. 

Answer : Arithmetic Mean

Question. The sum of deviations of 8, 1, 6 from the arithmetic mean is _______. 

Answer : 0

Question. Each value is considered only once for _______. (simple average/weighted average) 

Answer : simple average

Question. _______ is a single figure which represents a frequency distribution. 

Answer : An average or a measure of central tendency

Question. Multiplying the values of the variable by the corresponding weights and then dividing the sum of products by the sum of weights is _______. (simple average/weighted average) 

Answer : weighted average

Question. When the distribution is symmetrical, mean, median and mode _________. (coincide/do not coincide) 

Answer : coincide

True/False.

Question. When a frequency distribution is given, the frequencies themselves are treated as weights. 

Answer : True

Question. Deviation may be positive or negative or zero. 

Answer : True

Question. Arithmetic mean can be used as an average in all situations

Answer : False

Question. Mean is influenced by extreme values. 

Answer : True

Question. When the algebraic sum of deviations from the arithmetic mean is not equal to zero, the figure of arithmetic mean is not correct. 

Answer : True

Question. “The sum of deviations from the mean is zero.” – is the mathematical property of mean. 

Answer : True

Question. Arithmetic mean can be located graphically.

Answer : False

Question. “In a moderately asymmetric distribution mean can be found out from the given values of median and mode.” 

Answer : True

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