Question

The following distribution gives the number of accidents met by 160 workers in a factory during a month.
Find the average number of accidents per worker.
No. of accidents (x): 0 1 2 3 4No. of workers (f): 70 52 34 3 1

Answer 1

average number of accidents per worker is 0.83125

• No. of frequency Fixi

accidents (Fi)

(Xi)

0 70 0

1 52 52

2 34 68

3 3 3

4 1 1

ΣFi=160 ΣFiXi=133

• Average no. of = ΣFiXi/ΣFi

accidents

• Average no. of = 133/160

accidents

• Average no. of = 0.83125

accidents

Answer 2

0.83 average accidents per worker

Step-by-step explanation:

number of accidents met by 160 workers

Number of accidents        Workers f              Total accidents

0                                             70                             0

1                                              52                             52

2                                             34                             68

3                                              3                              9

4                                              1                               4

                                               160                          133

the average number of accidents per worker.   =  133/160

= 0.83

0.83 accidents per week

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