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Central Tendency and Dispersion (CA - CPT)

Description: Chapter 11: Central tendency and Dispersion
Number of Questions: 15
Created by:
Tags: Standard deviation Measures of Central Tendency
Attempted 0/15 Correct 0 Score 0

The middlemost value when the observations are arranged in order of magnitude is called

  1. range

  2. standard deviation

  3. mean

  4. median

  5. mode


Correct Option: D
Explanation:

Median is the middlemost value when the observations are arranged in ascending or descending order.

Which of the following statements is true?

  1. Mode is based on all the observations.

  2. Median is the second quartile.

  3. Mean is the mid value.

  4. Mode is the 5th decile.

  5. Median is the most repeated value.


Correct Option: B
Explanation:

Median is the second quartile and the mid value.

The value(s) that can be determined graphically is/are

  1. median

  2. mode

  3. median and mode

  4. mean and median

  5. mean, median and mode


Correct Option: C
Explanation:

Median can be determined from Ogive.

______________ divide(s) the given set of observations into four equal parts.

  1. Median

  2. Deciles

  3. Percentiles

  4. Mode

  5. Quartiles


Correct Option: E
Explanation:

Quartiles divide the given data into four equal parts.

Standard deviation is ______________ of change of origin, but _____________ on change of scale.

  1. independent, dependent

  2. dependent, dependent

  3. dependent, independent

  4. independent, independent

  5. None of these


Correct Option: A
Explanation:

Standard deviation is independent of change of scale, but dependent on change of origin.

Which of the following measures of dispersion can be used for comparing variability of two distributions?

  1. Range

  2. Mean deviation

  3. Coeffecient of variation

  4. Standard deviation

  5. Quartile deviation


Correct Option: C
Explanation:

Coeffecient of variation is a relative measure of deviation.

The sum of squares of deviations of a set of observations has the smallest valu, when the deviations are taken from their

  1. arithmetic mean

  2. geometric mean

  3. harmonic mean

  4. median

  5. mode


Correct Option: A
Explanation:

The sum of the squares of the deviations will be the least when they are taken from their arithmetic mean.

Which of the following is/are a mathematical average?

  1. Median

  2. Quartiles

  3. Mode

  4. Geometric mean

  5. Deciles


Correct Option: D
Explanation:

Geometric mean alongwith arithmetic mean and harmonic mean is a mathematical average.

Which of the following is/are called ratio average(s)?

  1. GM

  2. AM

  3. AM and GM

  4. AM and HM

  5. GM and HM


Correct Option: E
Explanation:

GM and HM are ratio averages.

Which of the following holds for a set of distinct positive observations?

  1. H.M. ≤ G.M. ≤ A.M.

  2. H.M. < G.M. < A.M.

  3. H.M. ≤ A.M. ≤ G.M.

  4. H.M. < A.M. < G.M.

  5. H.M. > G.M. > A.M.


Correct Option: B
Explanation:

This is true as all the numbers are distinct.

If all observations of a distribution are increased by 10, then the standard deviatiobn of the series will be

  1. increased by 10

  2. decreased by 10

  3. increased by 20

  4. increased by 5

  5. unchanged


Correct Option: E
Explanation:

Standard deviation will remain the same.

The sum of deviations of a set of observations is zero when the deviations are taken from their

  1. arithmetic mean

  2. median

  3. mode

  4. geometric mean

  5. harmonic mean


Correct Option: A
Explanation:

The sum of deviations will become zero when the deviations are taken from their mean.

The mean and standard deviation of 10 observations are 45 and 3, respectively. If each observation is increased by 4, the respective changed mean and standard deviation will be

  1. 45 and 3

  2. 41 and 3

  3. 49 and 3

  4. 45 and 7

  5. 49 and 7


Correct Option: C
Explanation:

Mean gets increased by 4.

The standard deviation of which of the following pairs of numbers is the highest?

  1. 10, 20

  2. 100, 300

  3. 80, 100

  4. 750, 800

  5. 1000, 1100


Correct Option: B
Explanation:

Range = 200 standard deviation = 100

Quartile deviation is _______ inter-quartile range.

  1. half of

  2. double of

  3. triple of

  4. equal to

  5. one-third of


Correct Option: A
Explanation:

Quartile deviation is half of inter-quartile range.

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