मराठी

The Following Distribution Gives the Number of Accidents Met by 160 Workers in a Factory During a Month. - Mathematics

Advertisements
Advertisements

प्रश्न

The following distribution gives the number of accidents met by 160 workers in a factory during a month.

No. of accidents(x) 0 1 2 3 4
No. of workers (f) 70 52 34 3 1

Find the average number of accidents per worker.

उत्तर

Let the assumed mean (A) = 2

No. of Accidents (x1) No. of workers (f1)

u1 = x1 - A

= x1 - 2

f1u1
0 70 -2 -140
1 52 -1 -52
2 34 0 0
3 3 1 3
4 1 2 2
  N = 160   `sumf_1"u"_1=-187`

Average no of accidents per day workers `=A+(sumf_1"u"_1)/N`

`=2+(-187)/160`

`=2-187/160`

`=(320-187)/160`

`=133/160`

= 0.83

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Statistics - Exercise 15.2 [पृष्ठ १३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 15 Statistics
Exercise 15.2 | Q 8 | पृष्ठ १३

संबंधित प्रश्‍न

Consider the following distribution of daily wages of 50 worker of a factory.

Daily wages (in Rs)

100­ − 120

120­ − 140

140 −1 60

160 − 180

180 − 200

Number of workers

12

14

8

6

10

Find the mean daily wages of the workers of the factory by using an appropriate method.


Find the mean of each of the following frequency distributions

Class interval 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75
Frequency 6 10 8 12 4

Find the mean of the following data, using direct method:

Class 25-35 35-45 45-55 55-65 65-75
Frequency 6 10 8 12 4

Using an appropriate method, find the mean of the following frequency distribution:

Class  84-90 90-96 96-102 102-108 108-114 114-120
Frequency 8 10 16 23 12 11

Which method did you use, and why?


The following distribution shows the daily pocket allowance of children of a locality. If the mean pocket allowance is ₹ 18 , find the missing frequency f.

Daily pocket allowance (in Rs.)

11-13 13-15 15-17 17-19 19-21 21-23 23-25
Number of children 7 6 9 13 f 5 4

Find the mean of the following frequency distribution, using the assumed-mean method:

Class 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
Frequency 10 20 30 15 5

If the mean of the following distribution is 27, find the value of p.

Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
Frequency 8 p 12 13 10

 


Consider the following distribution of daily wages of 50 workers of a factory:

Daily wages
(in ₹)
500-520 520-540 540-560 560-580 580-600
Number of workers 12 14 8 6 10

Find the mean daily wages of the workers of the factory by using an appropriate method.


The contents of 100 match box were checked to determine the number of match sticks they contained.

Number of match sticks Number of boxes
35 6
36 10
37 18
38 25
39 21
40 12
41 8

(i) Calculate correct to one decimal place, the mean number of match sticks per box.
(ii) Determine how many matchsticks would have to be added. To the total contents of the 100 boxes to bring the mean up exactly 39 match sticks.


In the formula `barx = a + (f_i d_i)/f_i`, for finding the mean of grouped data di’s are deviations from a of ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×