Question

Consider the following statistical measures. Which of the given below are measures of central tendency?
(A) Arithmetic Mean
(B) Median
(C) Standard Deviation
(D) Quartile Deviation
(E) Variance

Choose the correct answer from the options given below:

• A. (A) and (C) only.
• B. (A) and (B) only.
• C. (C), (D) and (E) only.
• D. (B) and (D) only.

Hint:

To easily remember: Central tendency points to the center of the distribution (Mean, Median, Mode), while dispersion points to the spread of the distribution (Range, SD, Variance, Quartile Deviation).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Measures of central tendency are statistical metrics used to represent the center or typical value of a dataset.
The most common measures are the arithmetic mean, median, and mode.
On the other hand, measures of dispersion describe the spread or variability of the data points around this center.

Step 3: Detailed Explanation:
Let us analyze each of the given statistical measures:
(A)

Arithmetic Mean: This represents the average of the dataset and is a primary measure of central tendency.
(B)

Median: This is the middlemost value when the data is arranged in ascending or descending order, representing a measure of central tendency.
(C)

Standard Deviation: This measures the dispersion of data points relative to their mean.
(D)

Quartile Deviation: This measures the spread of the middle half of the data, which is a measure of dispersion.
(E)

Variance: This represents the average squared deviation from the mean, which is another measure of dispersion.
Therefore, only (A) and (B) are measures of central tendency.

Step 4: Final Answer:
The correct option is 2, which corresponds to (A) and (B) only.