First slide

Introduction to statistics

Question

The monthly sales for the first 11 months of the year of a certain salesman were Rs. 12,000 but due to his illness during the last month the average sales for the
whole year came down to Rs. 11,375. The value of the sale during the last month was

Moderate

A

$R s 4, 500$
B

$R s 6, 000$
C

$R s 10, 000$
D

$R s 8, 000$

Solution

Let $R s$ . $x$ be the sale in the last month. Using
the formula of combined mean, we have
$\begin{array}{l} \frac{12, 000 \times 11 + x}{12} = 11, 375 \\ \begin{aligned} ∣ x & = 11, 375 \times 12 - 12, 000 \times 11 \\ = 1, 36, 500 - 1, 32, 000 = 4500 . \end{aligned} \end{array}$

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