Question

1)
a) A company is planning to improve
the plant safety. For this accident data, for the last 50 weeks were completed. These data are grouped into frequency distribution is shown below.
calculate Mean, Median, Standard
Deviation of the number of accidents per week.
Number of accidents :
0-4, 5-9, 10-14, 16-10, 20-24
Number of Weeks :
5 , 22 , 13 , 8 , 2

​

Answer 1

Answer:

10 accidents per week

Explanation:

Histogram is attached in the answer.

To find the average number of accidents

Number of

Accidents. Numbers of Weeks xifi

0-5 (xi=2.5) 8 -- 20

5-10 (xi=7.5) 22 -- 165

10-15(xi=12.5) 10 --125

15-20(xi=17.5) 8 --140

20-25(xi=22.5) 2 --45

Sum of xifi=20+165+125+140+45=495

Average number of accidents

=  \frac{495}{50}  \\  \\  = 9.9 \\  \\  

Approx 10 accidents per week.

Answer 2

Explanation:

A company is planning to improve

the plant safety. For this accident data, for the last 50 weeks were completed. These data are grouped into frequency distribution is shown below.

calculate Mean, Median, Standard

Deviation of the number of accidents per week.

Number of accidents :

0-4, 5-9, 10-14, 16-10, 20-24

Number of Weeks :

5 , 22 , 13 , 8 , 2