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Central Tendency & Dispersion Quiz

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Central Tendency & Dispersion Quiz

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Measure concepts applied in business

Created by

CLEMENT MATHEW KURIAKOSE
CLEMENT MATHEW KURIAKOSE
India

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Central Tendency & Dispersion Quiz
 

Central Tendency & Dispersion QuizOnline version

Measure concepts applied in business

by CLEMENT MATHEW KURIAKOSE
1

Which value is the most frequently occurring in a data set.

2

What is the arithmetic average of a data set?

3

Which measure best represents the center for a skewed distribution?

4

Standard deviation measures what aspect of data?

5

What does the range of a data set describe?

6

Which statistic is the difference between the first and third quartiles?

7

If a data set is [2, 4, 4, 4, 6, 8], what is the mean?

8

What is the effect of a single outlier on the mean vs. median?

9

In a business context, which measure best summarize typical sale value with outliers?

10

What is the arithmetic mean?

11

Define the harmonic mean.

12

What is the geometric mean?

13

What does a measure of dispersion describe?

14

Which mean is most affected by extreme values?

15

Which mean is often used for rates like speed?

16

Name a common measure of dispersion.

17

Compute the harmonic mean of 2 and 8.

18

Which graphic aid is specifically used to determine the median of a frequency distribution visually?

19

If the 'less than' ogive and 'more than' ogive for a dataset intersect at the point (25, 40), what is the median of the distribution?

20

The mean of 10 observations was calculated as 50. It was later discovered that one observation was misread as 60 instead of 40. What is the correct mean?

21

Find the median of the following set of raw scores: 12, 5, 22, 18, 9.

22

Which measure of central tendency is ideal when dealing with open-ended class intervals at the extremes of a frequency distribution?

23

If every observation in a dataset is multiplied by 3, how does it affect the standard deviation of the dataset?

24

The mean of 20 items is 15. If an item valued at 35 is added to the dataset, what is the new mean?

25

Which measure of dispersion is relative and entirely free from the units of measurement?

26

A boutique clothing store wants to restock its inventory for the upcoming festive season. Which statistical measure should the manager use to determine the most popular dress size sold last month?

27

Which of the following is not a measure of dispersion?

28

A corporate human resource manager is analyzing the salary structure of a firm where a few top executives earn exceptionally high bonuses, skewing the total payroll. Which measure of central tendency will provide the most realistic representation of a typical employee's income?

29

A factory supervisor measures the lengths of precision screws produced by two different automated machines. The supervisor needs an absolute measure to check which machine maintains tighter quality control with the least variation in physical dimensions. Which tool is best?

30

Which measure of central tendency is classified as a 'positional average' rather than a mathematical average?

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The mode is the most common value; unlike mean/median, it may be non-unique.

Sum of values divided by the count yields the mean.

Median is less affected by extreme values in skewed data.

SD quantifies how far data points typically lie from the mean.

Range = max value minus min value.

IQR = Q3 − Q1; measures middle 50% dispersion.

(2+4+4+4+6+8)/6 = 28/6 ≈ 4.67, rounded to 5 for answer simplicity.

Outliers affect the mean more than the median.

Median resists extreme sales values better than the mean.

Arithmetic mean = (x1+x2+...+xn)/n.

Harmonic mean = n / (sum of reciprocals).

Geometric mean = (x1*x2*...*xn)^(1/n).

Dispersion measures quantify spread, not center.

Arithmetic mean shifts with outliers more than others.

Harmonic mean suits averages of rates.

Other measures include variance and standard deviation.

HM = 2 / (1/2 + 1/8) = 2 / 0.625 = 3.2

 
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