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ICSE Class 10 Mathematics Question 10 of 21

Solved 2024 Specimen Paper ICSE Class 10 Mathematics — Question 4

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4
Question

Question 5(i)

Shown below is a table illustrating the monthly income distribution in a company with 100 employees.

Monthly income (in ₹ 10,000)Number of employees
0-455
4-815
8-1206
12-1608
16-2012
20-244

Using step-deviation method, find the mean monthly income of an employee.

Answer

In the given table,

Class size (i) = 4.

Monthly incomeNo.of employees (f)Class markd = x - Au = d/ifu
0-4552-4-1-55
4-815A = 6000
8-1206104106
12-1608148216
16-20121812336
20-2442216416
TotalΣf = 100Σfu = 19

By formula,

Mean = A + ΣfuΣf×i\dfrac{Σfu}{Σf} \times i

= 6 + 19100×4\dfrac{19}{100} \times 4

= 6 + 76100\dfrac{76}{100}

= 6 + 0.76

= 6.76

Hence, mean = 6.76