Correct Statements? Which of the following statements are true?

a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.

b. For any set of sample values, the standard deviation can never be a negative value.

c. If the standard deviation of a sample is 3 kg, then the variance is 9 kg.

d. If the variance of a sample is 16 sec2, then the standard deviation is 4 sec.

e. If the standard deviation of a sample is 25 cm, then the variance is 5 cm2.

Problem 2BSC

Answer:

Step1 ofn 2:

We need to find,

a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.

b. For any set of sample values, the standard deviation can never be a negative value.

c. If the standard deviation of a sample is 3 kg, then the variance is 9 kg.

d. If the variance of a sample is 16 sec2, then the standard deviation is 4 sec.

e. If the standard deviation of a sample is 25 cm, then the variance is 5 cm2.

Step2 of 2:

a).

Consider,

=

= 20

Hence,

Standard deviation is calculated by using the formula

=

=

= 0.

Therefore, “True”, If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.

b).

W.k.t,

Here,

= [mathematical formula]

= +