NCERT MCQ ON Measures of Central Tendency:

Question1 : Which of the following is a type of mathematical average?
(a) Median
(b) Partition value
(c) Mode
(d) None of these

Answer :  D

Question2 : 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

Question3 : Arithmetic mean of these items 5, 7, 9, 15, 20 is:
(a) 10
(b) 10.2
(c) 11.2
(d) 12

Answer :  C

Question4 : 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

Question 5: 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

Question 6: 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

Question7 : Which of the following is not a measure of central tendency?
(a) Mean
(b) Mode
(c) Standard deviation
(d) Median

Answer :  C

Question8 : 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

Question 9: The sample mean is a:
(a) Parameter
(b) Statistic
(c) Variable
(d) Constant

Answer :  B

Question10 : 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

Question11 : 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

Question12 : 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

Question13 : 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

Question 14:  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

Question15 :  Simple average is sometimes called:
(a) Unweighted average
(b) Weighted average
(c) Relative average
(d) None of these

Answer :  A

Question16 :  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

Question17 :  __________ 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

Question18 :  The population mean µ is called:
(a) Discrete variable
(b) Continuous variable
(c) Parameter
(d) Sampling unit

Answer :  C

Question19 :  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

Question20 :  Mean should be:
(a) Simple
(b) Based upon all items
(c) Rigidly defined
(d) Ail the above

Answer :  A

Question21 :  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

Question22 :  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

Question23 :  Average value of given variables is known as:
(a) Median
(b) Mean
(c) Mode
(d) Index Number

Answer :  B

Question24 :  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

Question25 :  Measures of central tendency are known as:
(a) Difference
(b) Averages
(c) Both
(d) None of these

Answer :  B

Question 26:  The arithmetic mean is highly affected by:
(a) Moderate values
(b) Extremely small values
(c) Odd values
(d) Extremely large values

Answer :  D

Question27 :  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

Question28 :  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

Question29 :  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

Question 30:  Sum of the deviations about mean is:
(a) Zero
(b) Minimum
(c) Maximum
(d) One

Answer :  A

Question31 :  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

Question32 :  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

Question33 :  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

Questio34n :  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

Question35 :  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

Question36 :  Sum of square of the deviations about mean is:
(a) Maximum
(b) Minimum
(c) Zero
(d) None of these

Answer :  B

Question37 :  The measure of central tendency listed below is:
(a) The raw score
(b) The mean
(c) The range
(d) Standard deviation

Answer :  B

Question38 :  __________ 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

Question39 :  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

Question40 :  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