Match List I with List II
| List I | List II | ||
|---|---|---|---|
| Statistical Measure | Definition | ||
| (A) | Mode | (I) | Sum of all observations divided by their count |
| (B) | Median | (II) | Measure of the spread from the mean |
| (C) | Mean | (III) | Central value when observations are arranged in order |
| (D) | Standard Deviation | (IV) | Observation which has the highest frequency |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
Mean, median and mode are measures of central tendency (a typical value of the data); the standard deviation is a measure of dispersion (how spread out the data are).
(A) Mode — this matches (IV) Observation which has the highest frequency. The mode is the value that occurs most often; in 2, 3, 3, 5 the mode is 3.
(B) Median — this matches (III) Central value when observations are arranged in order. The median is the middle value once the data are put in order, so half the values lie below it and half above.
(C) Mean — this matches (I) Sum of all observations divided by their count. This is the arithmetic average: for 2, 3, 3, 5 it is \(13\div4=3.25\).
(D) Standard Deviation — this matches (II) Measure of the spread from the mean. It is the square root of the average squared distance of the observations from the mean; a larger value means the data are more spread out.