Assertion Reason Measure of Central Tendency

1.Assertion(A): Sum of deviations of the observations from their arithmetic mean is always zero. Reason(R): Arithmetic mean is a point of balance that is sum of positive deviations from mean is equal to sum of negative deviation. :

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is A)

2.Assertion (A): Median is graphically located through ogive. Reason (R): median is an arithmetic average.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is C)

3.Assertion (A): Symmetrical distribution is a bell shaped curve. Reason (R): In actual life, most of the distribution is a bell shaped curve.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is C)

4.Assertion (A): Everyone who computes the mean get the same answer. Reason (R): Arithmetic mean is rigidly defined by an algebraic formula.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is A)

5.Assertion (A): A distribution can either be uni-model, bi-model or multi-modal. Reason (R): If each observation occurs the same number of times in a series, then there is no mode in the distribution.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is B)

6.Assertion (A): Weighted mean is greater than simple arithmetic mean when higher weights are given to the larger items and smaller weights are given to the smaller items in the series. Reason (R): weighted mean is less than simple arithmetic mean when smaller weights are assigned to larger items and larger weights are given to the smaller items in the series.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is B)

7.Assertion (A): More importance is given to the lowest value in the calculation of simple arithmetic mean. Reason (R): In the calculation of simple arithmetic mean, all the items of the series are given equal importance, the average so calculated is very much affected by the higher values in the series.

A)Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is D)

8.Assertion (A): Mode is the value occuring most frequently in a set of observations. Reason (R): Mode can be calculated by inspection method and grouping method in discrete series and continuous series.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is B)

9.Statement 1: Arithmetic mean is capable of further algebraic treatment. Statement 2: Arithmetic mean is a stable measure of central tendency.

A) Both the statements are true
B) Both the statements are false
C) Statement 1 is true and statement 2 is false.
D) Statement 2 is true and statement 1 is false.

... Answer is A)

10.Statement 1: Arithmetic mean is capable of algebraic treatment, therefore it is used in statistical analysis. Statement 2: Arithmetic mean is least affected by fluctuations of sample. It is because changes in the sample of a series affect the arithmetic average at the minimum.

A) Both the statements are true
B) Both the statements are false
C) Statement 1 is true and statement 2 is false.
D) Statement 2 is true and statement 1 is false.

... Answer is A)

11.Statement 1: In symmetrical distribution value of mean, median and mode are equal. Statement 2: In asymmetrical distribution the value of mean, median and mode are not equal.

A) Both the statements are true
B) Both the statements are false
C) Statement 1 is true and statement 2 is false.
D)Statement 2 is true and statement 1 is false.

... Answer is A)

12.Statement 1: Lower quartile (Q1) has 25% of the items of the distribution lesser than it and 75% of the items are greater than it. Statement 2: Upper quartile (Q3) has 75% of the item of the distribution lesser than it and 25% of the items are greater than it.

A) Both the statements are true
B) Both the statements are false
C)Statement 1 is true and statement 2 is false.
D) Statement 2 is true and statement 1 is false.

... Answer is A)

13. Statement 1: Mode is that value which occurs the maximum number of times in a series. Statement 2: Mode is a position of greater density or a point of highest concentration of value.

A) Both the statements are true
B) Both the statements are false
C) Statement 1 is true and statement 2 is false.
D) Statement 2 is true and statement 1 is false.

... Answer is A)

14.Assertion (A): Median is that positional value of the variable which divides the distribution into two equal parts. Reason (R): Median is middle item of distribution in case of odd number of items and it is average of two middle items in case of even number of items.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is A)

15.Assertion (A): Graphic location of median is done through cumulative frequency curve or ogive. Reason (R): The point of intersection of less than ogive and more than ogive gives us the value of mode.

A) Both assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B) Both assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C) Assertion (A) is true but Reason (R) is false.
D) Assertion (A) is false but Reason (R) is true.

... Answer is C)