Question

The letters​ A, B, and C are marked on the histogram. Describe the shape of the data. Then determine which is the​ mean, which is the​ median, and which is the mode. Justify your answers.

Sick Days Used by Employees

13579111315024681012141618Number of DaysFrequency

Upper AA

Upper BB

Upper CC

A histogram titled Vacation Days Used by Employees has a horizontal axis labeled Number of Days from 1 to 15 in increments of 2 and a vertical axis labeled Frequency from 0 to 18 in increments of 1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are listed as follows, where the label is listed first and the height is listed second: 1, 10; 2, 15; 3, 14; 4, 13; 5, 11; 6, 9; 7, 5; 8, 7; 9, 6; 10, 2; 11, 4; 12, 1; 13, 1; 14, 0; 15, 1. The bar labeled 2 is marked with the letter A. The bar labeled 4 is marked with the letter B. The bar labeled 5 is marked with the letter C.

Which description below best describes the shape of the​ distribution?

Skewed leftleft

Symmetric

Uniform

Skewed rightright

In this​ distribution, how is the mode​ determined?

A.

The mode cannot be identified.

B.

The​ mean, median, and mode are all equal.

C.

The mode is the data entry that has the lowest frequency.

D.

The mode is the data entry that has the highest frequency.

The mode is labeled

▼

B.

C.

A.

In this​ distribution, how is the mean​ determined?

A.

The mean is to the

rightright

of the median and mode.

B.

The mean cannot be identified.

C.

The​ mean, median, and mode are all equal.

D.

The mean is to the

leftleft

of the median and mode. The mean is labeled

▼

A.

B.

C.

In this​ distribution, how is the median​ determined?

A.

The​ mean, median, and mode are all equal.

B.

The median cannot be identified.

C.

The median is to the

rightright

of the mean and to the

leftleft

of the mode.

D.

The median is to the

leftleft

of the mean and to the

rightright

of the mode. The median is labeled

▼

C.

B.

A.

Answer 1