Advertisements
Advertisements
प्रश्न
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
उत्तर
The standard deviation of the data = 3.6
Each value of the data is divided by 3
New standard deviation = `3.6/3` = 1.2
New Variance = (1.2)2 = 1.44 ...[∴ Variance = (S.D)2]
New standard Deviation = 1.2
New variance = 1.44
APPEARS IN
संबंधित प्रश्न
Find the range and coefficient of range of the following data
63, 89, 98, 125, 79, 108, 117, 68
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.
Find the standard deviation of the first 21 natural numbers.
The rainfall recorded in various places of five districts in a week are given below. Find its standard deviation
| Rainfall (in mm) | 45 | 50 | 55 | 60 | 65 | 70 |
| Number of places | 5 | 13 | 4 | 9 | 5 | 4 |
For a group of 100 candidates, the mean and standard deviation of their marks were found to be 60 and 15 respectively. Later on, it was found that the scores 45 and 72 were wrongly entered as 40 and 27. Find the correct mean and standard deviation
The mean and variance of seven observations are 8 and 16 respectively. If five of these are 2, 4, 10, 12 and 14, then find the remaining two observations.
Variance of first 20 natural numbers 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
