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प्रश्न
The monthly salary of 10 employees in a factory are given below:
₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 5000
Find the mean, median and mode
उत्तर
= `(5000 + 7000 + 5000 + 7000 + 8000 + 7000 + 7000 + 8000 + 7000 + 5000)/10`
= `(3 xx 5000 + 5 xx 7000 + 2 xx 8000)/10`
= `(15000 + 35000 + 16000)/10`
= `66000/10`
Mean = 6600
Median:
Arrange in ascending order we get.
5000, 5000, 5000, 7000, 7000, 7000, 7000, 7000, 8000, 8000
The number of values = 10
Median = Average of `(10/2)^"th"` and `(10/2 + 1)^"th"`
= Average of 5th value and 6th value
= `(7000 + 7000)/2`
∴ Median = 7000
Mode: 7000 repeated 5 times
∴ Mode = 7000
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संबंधित प्रश्न
The shirt sizes worn by a group of 200 persons, who bought the shirt from a store, are as follows:
| Shirt size: | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 |
| Number of persons: | 15 | 25 | 39 | 41 | 36 | 17 | 15 | 12 |
Find the model shirt size worn by the group.
Compute the mode from the following data:
| Age (in years) | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 - 35 |
| No of patients | 6 | 11 | 18 | 24 | 17 | 13 | 5 |
The relationship between mean, median and mode for a moderately skewed distribution is.
Find out the mode from the following data:
| Wages (in ₹) | No. of persons |
| 125 | 3 |
| 175 | 8 |
| 225 | 21 |
| 275 | 6 |
| 325 | 4 |
| 375 | 2 |
State the modal class.
| Class Interval | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 | 80 - 85 | 85 - 90 |
| Frequency | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
For the following distribution
| C.l. | 0 - 5 | 5 - 10 | 10 - 15 | 15 - 20 | 20 - 25 |
| f | 10 | 15 | 12 | 20 | 9 |
the difference of the upper limit of the median class and the lower limit of the modal class is?
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| Income (in Rs) | Number of families |
| 0 – 5000 | 8 |
| 5000 – 10000 | 26 |
| 10000 – 15000 | 41 |
| 15000 – 20000 | 16 |
| 20000 – 25000 | 3 |
| 25000 – 30000 | 3 |
| 30000 – 35000 | 2 |
| 35000 – 40000 | 1 |
Calculate the modal income.
Find the mode of the following frequency distribution:
| Class: | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 |
| Frequency: | 25 | 30 | 45 | 42 | 35 |
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