Question

Match List-I with List-II.

List-I (Nature of data)	List-II (Most appropriate measure)
(A) Qualitative data	(I) Geometric mean
(B) Raw data with extreme values	(II) Median and Mode
(C) Dealing with rates, speeds and prices	(III) Mode
(D) Calculating relative change	(IV) Harmonic mean

Choose the correct answer from the options given below:

• (A) - (IV), (B) - (II), (C) - (I), (D) - (III)
• (A) - (III), (B) - (I), (C) - (II), (D) - (IV)
• (A) - (III), (B) - (II), (C) - (IV), (D) - (I)
• (A) - (IV), (B) - (III), (C) - (I), (D) - (II)

Hint:

Match each data type to the measure that is resistant to its specific property (categories, outliers, ratios, or growth).

Answer 1

The Correct Option is C

Step 1: Instead of pairing each item directly, check the four given combinations one at a time and eliminate any that contain an obviously wrong pairing.
Step 2: Option 1 pairs Qualitative data with Harmonic mean. A harmonic mean needs numeric reciprocals, so it cannot be computed for categories like a colour or a variety name. This pairing is wrong, so option 1 is eliminated.
Step 3: Option 2 pairs Raw data with extreme values to Geometric mean. A geometric mean uses the product of all values and is itself distorted by a very large or very small extreme value, so it is not the resistant measure needed here. Option 2 is eliminated.
Step 4: Option 4 places rates and speeds with Geometric mean. Speeds and rates are the classic case for Harmonic mean (average speed over equal distances), not Geometric mean, so option 4 is eliminated.
Step 5: Only option 3 survives: Qualitative data to Mode, Raw data with extreme values to Median and Mode, rates/speeds/prices to Harmonic mean, and relative change to Geometric mean.\[\boxed{(A)-(III),\ (B)-(II),\ (C)-(IV),\ (D)-(I)}\]