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 find the mean. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the mean is (type an integer or decimal rounded to one decimal place as needed.) b. the mean cannot be calculated because the sample size is too small. c. the mean cannot be calculated because the data are at the nominal level of measurement. d. the mean cannot be calculated because there are too many sophomores.

Explanation:

Step1: Recall level - of - measurement concept

Nominal data is categorical data without any order or numerical value. Class levels (Freshman, Sophomore, Junior, Senior) are nominal.

Step2: Analyze mean calculation

Mean is calculated by summing numerical values and dividing by the number of values. Since class levels are nominal, no numerical operations can be performed on them for mean - calculation.

Answer:

C. The mean cannot be calculated because the data are at the nominal level of measurement.