The median and SD of a distributed are 20 and 4 respectively. If each

1.	The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are1. 20, 42. 22, 63. 22, 4 4. None of these
Answer» Correct Answer - Option 3 : 22, 4 Explanation: The terms used in calculating standard deviation are deviations from the mean of the observations. As each number/observation is increased by 2, the deviations from the mean remain the same. Hence standard deviation remains the same. On the other hand, median gives the middle term or the average of the two middle terms accordingly when the total number of terms is odd or even. Thus, it has to increase by 2. Hence new median = 20 + 2 = 22 and SD = 4

The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are1. 20, 42. 22, 63. 22, 4 4. None of these

Answer» Correct Answer - Option 3 : 22, 4

Explanation:

The terms used in calculating standard deviation are deviations from the mean of the observations.
As each number/observation is increased by 2, the deviations from the mean remain the same.
Hence standard deviation remains the same.
On the other hand, median gives the middle term or the average of the two middle terms accordingly when the total number of terms is odd or even.
Thus, it has to increase by 2.

Hence new median = 20 + 2 = 22 and SD = 4

Discussion

No Comment Found

Related InterviewSolutions

The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are1. 20, 42. 22, 63. 22, 4 4. None of these
The two lines of regression are 8x - 10y = 66 and 40x - 18y = 214, and variance of x series is 9. What is the standard deviation of y series?1. 32. 43. 64. 8
In Mean deviation, deviations are measured from(a) Mean (b) Median (c) mode (d) All these
What is the relation between mean, mode, median.
--- is defined as the reciprocal of the mean of the reciprocal of these value(a)H.M (b)G.M (c)A.M (d)S.D
Standard deviation of a series can have minimum value of -----(a) Zero (b) One (c) Two (d) Three
In ---- signs are ignored (a) S.D(b)Mean (c) Both (d) None
Laspeyrs formula does not obey (a) Factor reversal test (b) Time reversal test (c) Both (d) None
Fishers ideal index formula satisfies ---- test (a) Factor reversal test (b)Time reversal test (c) Both (d) none
Fisher’s formula satisfies ---- test (a) Unit test (b) Time reversal Test (c) factor Reversal test (d) All