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The following table gives the weekly wages of workers in a factory. Weekly wages (Rs) No. of workers 50 – 55 5 55 – 60 20 60 – 65 10 65 – 70 10 70 – 75 9 75 – 80 6 80 – 85 12 85 – 90 8 - Mathematics

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प्रश्न

The following table gives the weekly wages of workers in a factory.

  Weekly wages (Rs)  No. of workers 
 50 – 55 5
55 – 60 20
60 – 65 10
65 – 70 10
70 – 75 9
75 – 80 6
80 – 85 12
85 – 90 8

Calculate the mean by using: 

Short-cut method

योग

उत्तर

Short-cut method 

Weekly wages
(Rs)

No. of workers
(fi)

Mid-value
xi

A = 72.5 
di = x – A

fidi

50 – 55 5 52.5 –20 –100
55 – 60 20 57.5 –15 –300
60 – 65 10 62.5 –10 –100
65 – 70 10 67.5 –5 –50
70 – 75 9 A = 72.5 0 0
75 – 80 6 77.5 5 30
80 – 85 12 82.5 10 120
85 – 90 8 87.5 15 120
Total  80     –280

`barx = A + (sumf_i d_i)/(sumf_i)`

= `72.5 + ((-280)/80)`

= 72.5 – 3.5

= 69

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अध्याय 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode) - Exercise 24 (B) [पृष्ठ ३६२]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 24 Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Exercise 24 (B) | Q 2.2 | पृष्ठ ३६२

संबंधित प्रश्न

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No. of matches 35 36 37 38 39 40 41
 No. of boxes 6 10 18 25 21 12 8
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20 – 30 16
30 – 40 22
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50 – 60 18
60 – 70 11
70 – 80 6
80 – 90 4
90 – 100 3

Draw an ogive for the given distributions on a graph sheet. Use a suitable scale for your ogive. Use your ogive to estimate:

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6-7 20
7-8 45
8-9 65
9-10 95
10-11 60
11-12 30
12-13 5

Draw an ogive of the distribution on a graph paper taking 2 cm = Rs. 1000 on one axis and 2 cm = 50 employees on the other axis. From the graph detemine: 

  1. the median wage. 
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  4. the upper quartile.

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