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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:
Direct Method
उत्तर
Direct Method
| Weekly wages (Rs) |
Mid-value xi |
No. of workers (fi) |
fixi |
| 50 – 55 | 52.5 | 5 | 262.5 |
| 55 – 60 | 57.5 | 20 | 1150.0 |
| 60 – 65 | 62.5 | 10 | 625.0 |
| 65 – 70 | 67.5 | 10 | 675.0 |
| 70 – 75 | 72.5 | 9 | 652.5 |
| 75 – 80 | 77.5 | 6 | 465.0 |
| 80 – 85 | 82.5 | 12 | 990.0 |
| 85 – 90 | 87.5 | 8 | 700.0 |
| Total | 80 | 5520.00 |
`barx = (f_ix_i)/(sumf)`
= `5520/80`
= 69
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संबंधित प्रश्न
Marks obtained (in mathematics) by 9 student are given below:
60, 67, 52, 76, 50, 51, 74, 45 and 56
if marks of each student be increased by 4; what will be the new value of arithmetic mean.
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
The mean of the following distribution is `21 1/7`. Find the value of ‘f’.
| C.I. | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
| Frequency | 8 | 22 | 31 | f | 2 |
The marks of 200 students in a test were recorded as follows:
| Marks | No. of students |
| 10-19 | 7 |
| 20-29 | 11 |
| 30-39 | 20 |
| 40-49 | 46 |
| 50-59 | 57 |
| 60-69 | 37 |
| 70-79 | 15 |
| 80-89 | 7 |
Construct the cumulative frequency table. Drew the ogive and use it too find:
(1) the median and
(2) the number of student who score more than 35% marks.
The mean of the following distribution in 52 and the frequency of class interval 30-40 'f' find f
| C.I | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| freq | 5 | 3 | f | 7 | 2 | 6 | 13 |
In a basket there are 10 tomatoes. The weight of each of these tomatoes in grams is as follows:
60, 70, 90, 95, 50, 65, 70, 80, 85, 95.
Find the median of the weights of tomatoes.
Find the median of the following:
25, 34, 31, 23, 22, 26, 35, 29, 20, 32
The frequency distribution table below shows the height of 50 students of grade 10.
| Heights (in cm) | 138 | 139 | 140 | 141 | 142 |
| Frequency | 6 | 11 | 16 | 10 | 7 |
Find the median, the upper quartile and the lower quartile of the heights.
Find the median of 5, 7, 9, 11, 15, 17, 2, 23 and 19.
If the mean of x, x + 2, x + 4, x + 6 and x + 8 is 13, find the value of x. Sum of data.
