Central Tendency & DispersionPYQ Dec 23Question 2876 of 473

The mean of the first three terms is 17 and mean of next four terms is 21. Calculate the mean of seven terms.

Options

A

\displaystyle 18.28

B

\displaystyle 19.78

C

\displaystyle 19.58

D

\displaystyle 19.28

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Correct Answer

✅ Option d — $\displaystyle 19.28$

All Options:

A $\displaystyle 18.28$
B $\displaystyle 19.78$
C $\displaystyle 19.58$
D $\displaystyle 19.28$

Detailed Solution & Explanation

**Step 1: Compute sum of first 3 terms.**

\text{Sum}_1 = 3 \times 17 = 51

**Step 2: Compute sum of next 4 terms.**

\text{Sum}_2 = 4 \times 21 = 84

**Step 3: Compute the combined mean of all 7 terms.**

\text{Mean} = \frac{51 + 84}{7} = \frac{135}{7} = 19.2857... \approx 19.28

Hence, **Option D** is the correct answer.

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