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Eco Economics

EconomicsNEB 2075 (old course)

Calculate mean. Wage 0 100 100 200 200 300 300 400 400 500 : : : : : : No. of workers 4 12 16 10 8

5

Answer

Padhai · Based on the official syllabus and past papers
Updated 10 Oct 2026

To calculate the mean wage from the given grouped data, we follow these steps:

Step 1: Find the midpoint (class mark) of each wage interval

The midpoint $x_{i}$ is calculated as: $x_{i} = \frac{Lower limit + Upper limit}{2}$

Wage Interval	Midpoint ( $x_{i}$ )
0–100	$\frac{0 + 100}{2} = 50$
100–200	$\frac{100 + 200}{2} = 150$
200–300	$\frac{200 + 300}{2} = 250$
300–400	$\frac{300 + 400}{2} = 350$
400–500	$\frac{400 + 500}{2} = 450$

Step 2: Multiply each midpoint by the number of workers ( $f_{i}$ ) to get $f_{i} x_{i}$

Midpoint ( $x_{i}$ )	No. of Workers ( $f_{i}$ )	$f_{i} x_{i}$
50	4	$50 \times 4 = 200$
150	12	$150 \times 12 = 1800$
250	16	$250 \times 16 = 4000$
350	10	$350 \times 10 = 3500$
450	8	$450 \times 8 = 3600$

Step 3: Calculate the total number of workers ( $N$ )

$N = \sum f_{i} = 4 + 12 + 16 + 10 + 8 = 50$

Step 4: Calculate the sum of $f_{i} x_{i}$

$\sum f_{i} x_{i} = 200 + 1800 + 4000 + 3500 + 3600 = 13100$

Step 5: Compute the mean wage ( $\overset{x}{ˉ}$ )

$\overset{x}{ˉ} = \frac{\sum f _{i} x _{i}}{N} = \frac{13100}{50} = 262$

Mean wage = 262

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