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 frequency 18 16 14 12 10 8 6 4 2 0 1 3 5 7 9 11 13 15 number of days skewed left skewed right uniform symmetric in this distribution, how is the mode determined? a. the mode is the data entry that has the highest frequency b. the mode cannot be identified c. the mean, median, and mode are all equal d. the mode is the data entry that has the lowest frequency the mode is labeled a. in this distribution, how is the mean determined? a. the mean is to the right 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 left of the median and mode the mean is labeled c. in this distribution, how is the median determined? a. the median is to the left of the mean and to the right of the mode b. the mean, median, and mode are all equal c. the median is to the right of the mean and to the left of the mode d. the median cannot be identified

Explanation:

Step1: Identify shape of data

The histogram has a long - tail on the right side, so it is skewed right.

Step2: Recall mode definition

The mode is the data entry with the highest frequency. In a skewed - right distribution, the mode is the peak of the histogram.

Step3: Recall mean - median - mode relationship in skewed right

In a skewed - right distribution, the mean is pulled towards the tail (right side), the median is in the middle of the ordered data, and the mode is at the peak. So the mean is to the right of the median and mode.

Step4: Determine median position

In a skewed - right distribution, the median is to the left of the mean and to the right of the mode.

Answer:

1. Skewed right
2. A. The mode is the data entry that has the highest frequency
3. A. The mean is to the right of the median and mode
4. A. The median is to the left of the mean and to the right of the mode