The following table shows wages of the workers. Calculate the average wage of the workers.

Wages (₹) 10−19 20−29 30−39 40−49 50−59

Number of Workers 8 9 12 11 6

Open in App

Solution

Wages
(X) Mid Value
(m) Frequency
(f) Deviation
d = m − A $d' = \frac{d}{i}$ fd'

10 − 19
20 − 29
30 − 39
40 − 49
50 − 59 14.5
24.5
34.5 =A
44.5
54.5 8
9
12
11
6 −20
−10
0
10
20 −2
−1
0
1
2 −16
−9
0
11
12

∑f = 46 ∑fd = −2

We use the step-deviation method to find the value of mean.
$X = A + \frac{Σ f d'}{Σ f} \times i = 34.5 + (\frac{- 2}{46}) \times 10 = 34.07$

Hence, the mean of the given distribution is 34.07

Suggest Corrections

Similar questions

Age (in Years)	20−29	30−39	40−49	50−59	60−69
Workers	10	8	6	4	2

Wages (₹)	20−30	30−40	40−50	50−60	60−70
Number of Workers	25	12	15	13	5

Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers.

Using the graph determine:

Daily Wages	10-20	20-30	30-40	40-50
No. of Workers	20	30	35	15

The daily wages of 40 workers of a factory are given in the following table.

Wages in Rs.	30 – 34	34 – 38	38 – 42	42 – 46	46 – 50	50 – 54
No. of workers	4	7	9	11	6	3

Calculate (i) Mean (ii) Variance and (iii) Standard Deviation of wages and also interpret the findings.

Join BYJU'S Learning Program

Wages (₹)	10−19	20−29	30−39	40−49	50−59
Number of Workers	8	9	12	11	6