Question

the class levels of 32 students in a physics course are shown below. find the mean, median, and mode of the data, if possible. if any measure cannot be found, explain why. freshman: 3 sophomore: 11 junior: 10 senior: 8 choose the correct statement about the median: a. the median represents the center. b. the median does not represent the center because it is the largest data value. c. the median does not represent the center because it is not a data value. d. the median does not represent the center because it is the smallest data value. e. the data set does not have a median. choose the correct mode of the data below. junior sophomore senior freshman the mode cannot be found. does the mode represent a typical, or central, data entry? a. yes, the mode represents a typical data entry. b. the mode does not represent a typical data entry because it is the smallest data value. c. the mode does not represent a typical data entry because it is the largest data value. d. the mode does not represent a typical data entry because it is not a data value. e. the data set does not have a mode.

Explanation:

Step1: Recall definitions

Mean is the sum of values divided by number of values. But class - levels (Freshman, Sophomore, Junior, Senior) are categorical data, so mean cannot be found.

Step2: Recall median definition

Median is the middle - value when data is ordered. Since class - levels are categorical, we cannot order them numerically to find a middle value. So, the data set does not have a median.

Step3: Recall mode definition

Mode is the most frequently occurring value. Here, Sophomore has the highest frequency (11) among Freshman (3), Junior (10), and Senior (8). So the mode is Sophomore. And since Sophomore is the most common class - level, it represents a typical data entry.

Answer:

The data set does not have a mean.
E. The data set does not have a median.
Sophomore
A. Yes, the mode represents a typical data entry.