Question

The observations X1, . . . , Xn have a mean of 52, a median of 52.1, and a standard deviation of 7. Eight percent of the observations are greater than 66; 7.9% of the observations are below 38. Based on this information, which of the following statements best describes the data?

a. The distribution has positive skew.
b. The distribution has negative skew.
c. The distribution has high kurtosis.
d. The distribution conforms to a normal distribution.

Answer 1

Answer:

d. The distribution conforms to a normal distribution.

Step-by-step explanation:

A normal distribution is when data has equal symmetry such that the distribution is not positive skewed nor negative skewed. A normal distribution has zero skewness as mean, median and mode are all equal.

In the above example, the data has a normal distribution because most values lie close to the mean(7.9 percent are less than 38 and 8 percent are more than 66)