Advertisements
Advertisements
प्रश्न
If the standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is
पर्याय
3p + 5
3p
p + 5
9p + 15
उत्तर
3p
Explanation;
Hint:
(i) Each value is added by any constant there is no change in standard deviation.
(ii) Each value is multiplied by 3 standard deviations also multiplied by 3.
The standard deviation is 3p.
APPEARS IN
संबंधित प्रश्न
Find the range and coefficient of range of the following data
63, 89, 98, 125, 79, 108, 117, 68
If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value
If the standard deviation of a data is 4.5 and if each value of the data is decreased by 5, then find the new standard deviation
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 sum of all deviations of the data from its mean is
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
The diameter of circles (in mm) drawn in the design are given below.
Diameters | 33 − 36 | 37 − 40 | 41 − 44 | 45 − 48 | 49 − 52 |
Number of circles | 15 | 17 | 21 | 22 | 25 |
Calculate the standard deviation.
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