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प्रश्न
Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer
उत्तर
The value of these three measures can be the same, it depends on the type of data.
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संबंधित प्रश्न
Find the value of p, if the mean of the following distribution is 20.
| x | 15 | 17 | 19 | 20+P | 23 |
| f | 2 | 3 | 4 | 5P | 6 |
Find the mean of the following frequency distribution is 57.6 and the total number of observation is 50.
| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
| Frequency | 7 | `f_1` | 12 | `f_2` | 8 | 5 |
Find the arithmetic mean of the following frequency distribution using step-deviation method:
| Age (in years) | 18 – 24 | 24 – 30 | 30 – 36 | 36 – 42 | 42 – 48 | 48 – 54 |
| Number of workers | 6 | 8 | 12 | 8 | 4 | 2 |
Weight of 60 eggs were recorded as given below:
| Weight (in grams) | 75 – 79 | 80 – 84 | 85 – 89 | 90 – 94 | 95 – 99 | 100 - 104 | 105 - 109 |
| No. of eggs | 4 | 9 | 13 | 17 | 12 | 3 | 2 |
Calculate their mean weight to the nearest gram.
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.
Write the empirical relation between mean, mode and median.
The distances covered by 250 public transport buses in a day is shown in the following frequency distribution table. Find the median of the distance.
|
Distance (km)
|
200 - 210 | 210 - 220 | 220 - 230 | 230 - 240 | 240 - 250 |
| No. of buses | 40 | 60 | 80 | 50 | 20 |
A frequency distribution of the life times of 400 T.V., picture tubes leased in tube company is given below. Find the average life of tube:
| Life time (in hrs) | Number of tubes |
| 300 - 399 | 14 |
| 400 - 499 | 46 |
| 500 - 599 | 58 |
| 600 - 699 | 76 |
| 700 - 799 | 68 |
| 800 - 899 | 62 |
| 900 - 999 | 48 |
| 1000 - 1099 | 22 |
| 1100 - 1199 | 6 |
The average score of girls in class X examination in school is 67 and that of boys is 63. The average score for the whole class is 64.5. Find the percentage of girls and boys in the class.
(For an arranged data) The median is the ______.
