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प्रश्न
The sum of all deviations of the data from its mean is
विकल्प
always positive
always negative
zero
non-zero integer
उत्तर
The sum of all deviations of the data from its mean is zero
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संबंधित प्रश्न
Find the range and coefficient of range of the following data
63, 89, 98, 125, 79, 108, 117, 68
Calculate the range of the following data.
| Income | 400 − 450 | 450 − 500 | 500 − 550 | 550 − 600 | 600 − 650 |
| Number of workers | 8 | 12 | 30 | 21 | 6 |
A teacher asked the students to complete 60 pages of a record notebook. Eight students have completed only 32, 35, 37, 30, 33, 36, 35 and 37 pages. Find the standard deviation of the pages yet to be completed by them.
A wall clock strikes the bell once at 1 o’clock, 2 times at 2 o’clock, 3 times at 3 o’clock and so on. How many times will it strike in a particular day? Find the standard deviation of the number of strikes the bell make a day.
If the standard deviation of a data is 3.6 and each value of the data is divided by 3, then find the new variance and new standard deviation
The time taken by 50 students to complete a 100-meter race are given below. Find its standard deviation
| Time taken (sec) | 8.5 − 9.5 | 9.5 − 10.5 | 10.5 − 11.5 | 11.5 − 12.5 | 12.5 − 13.5 |
| Number of students | 6 | 8 | 17 | 10 | 9 |
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
If the standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is
If the range and coefficient of range of the data are 20 and 0.2 respectively, then find the largest and smallest values of the data
