A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true? The range is 34.

The range is 34.

The mode is equal to the mean.

The mode is equal to the mean.

The mean is greater than the median.

The mean is greater than the median.

The distribution curve is skewed to the right.

The correct option is;

The distribution curve is skewed to the right

Step-by-step explanation:

The given parameters are;

The mean = 58

The outlier = 92

Given that the outlier, P, can be found from the following formula, we have;

P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)

92 > (Q₃ + 1.5 (Q₃ - Q₁)

Given that mean = 58

Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.

answer: r there any options?

step-by-step explanation: