Question

the responses of a sample of 5204 shoppers who were asked how their purchases are made are shown in the table. find the mean, the median, and the mode of the data, if possible. if any measure cannot be found or does not represent the center of the data, explain why
find the mean. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the mean is
(round to one decimal place as needed.)
b. the mean cannot be calculated because there is an even number of data entries.
c. the mean cannot be calculated because the data are at the nominal level of measurement
d. the mean cannot be calculated because the sample size is too small
does the mean represent the center of the data? choose the correct answer below
a. the mean represents the center of the data set.
b. the mean does not represent the center because it is not a data entry.
c. the mean does not represent the center because it is the greatest data entry.
d. the mean does not represent the center because it is the least data entry.
e. the data set does not have a mean.

Explanation:

Step1: Identify data type

The data about how purchases are made (e.g., "Research online and in - store, buy in - store") is nominal data. Nominal data consists of categories without any numerical value or order.

Step2: Recall mean calculation requirements

The mean is calculated by summing all numerical values and dividing by the number of values. Since nominal data has no numerical values, the mean cannot be calculated.

Answer:

For the first part (finding the mean): C. The mean cannot be calculated because the data are at the nominal level of measurement
For the second part (does the mean represent the center of the data): E. The data set does not have a mean