Question

True or false

a. The standard deviation is negative for a data set where all values are negative.

b. A population with an average of 20 and variance of 16, has a coefficient of variation equal to the mean.

c.The standard deviation is a measure of dispersion that does not take into account all the observations of a data set.

d.The route of a data set is affected by the existence of extreme values.

Answer 1

a. The standard deviation is negative for a data set where all values are negative.

False :- because the standard deviation always positive. It is square root of sum of squares difference of value from mean.

b. A population with an average of 20 and variance of 16, has a coefficient of variation equal to the mean.

True

c.The standard deviation is a measure of dispersion that does not take into account all the observations of a data set.

False :- it takes all the values into account

d.The route of a data set is affected by the existence of extreme values.

True