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Q.

Record no. of days of medical leave taken by 30 employees within a year is given below.

Find the mean number of days of medical leave taken by an employee in a year.

No. of days
0-10
10-20
20-30
30-40
40-50
No. of Employees
5
7
11
4
3

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a

29.67 days

b

25.67 days

c

22.67 days

d

20.6 days

answer is C.

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Detailed Solution

Concept: The first step in calculating the mean number of medical leave days is to identify the midpoint (also known as a class mark) of each class interval. The frequencies of the appropriate classes should then be multiplied by these midpoints. The value of the mean number of days will be equal to the sum of the products divided by the total number of employees.
Given
Number of days 0–10, 10–20, 20–30, 30–40, and 40–50.
Employees: 5, 7, 11, 4, 3, and 3.
The average number of days for medical leave must be determined.

https://lh6.googleusercontent.com/t1U83UpuSPU3jy5iX_YuMdYhdoVIfTWVBfMNKIrw2-gqVsMtHijTAfuaQBLZHV0GJwYxY-uSBCRQRR4zxYpuEcx8h05Z_0wwj4MbS8V2J6XXPBvPQfzJ9rDs_masBOJSbGSRdCvJSQOxVYkcEqWwEw

where

represents the class grade (the midpoint of the class interval) ,

represents the frequency, and

represents the sum of the class grade and frequency.
The total frequency is thirty.
The

add up to 680.

https://lh6.googleusercontent.com/q1Kis-tihlZu57diA5VN5S1U2XlvkOqy4yd6RG5fcX-Ckr2jm4rWTPZk-UKuwLFm-P8JLL-u4Ls5_gb0hIstIN7PofaiYjiruS0crFBi1wKhs1GrTucoZqWS7Y_hfdxsp-A2hFLLq76yHFSHWY2oSw

Hence, the correct answer is option 3) 22.67 days
ExamType: CBSE

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