Question

the weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot. 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.

\

$$\begin{array}{r|l} 0 & 4 \\; 5 \\\\ 1 & 3 \\; 4 \\; 7 \\; 9 \\\\ 2 & 4 \\; 6 \\; 7 \\; 7 \\; 9 \\; 9 \\; 9 \\\\ 3 & 0 \\; 1 \\; 2 \\; 5 \\; 6 \\; 7 \\; 7 \\; 7 \\; 8 \\\\ 4 & 1 \\; 2 \\; 5 \\; 6 \\; 8 \\\\ 5 & 2 \\end{array}$$

key: 3 | 0 = 30

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 the data are at the nominal level of measurement.
c. the mean cannot be calculated because the sample size is too small.
d. the mean cannot be calculated because there is an even number of data entries.

Explanation:

Reconstruct the dataset from the stem-and-leaf plot

$$
LATEXBLOCK0
$$

Calculate the sum of the dataset

$$
LATEXBLOCK1
$$

Calculate the mean

$$
LATEXBLOCK2
$$

Answer:

• A. The mean is 30.4. (Correct answer)
• B. The mean cannot be calculated because the data are at the nominal level of measurement.
• C. The mean cannot be calculated because the sample size is too small.
• D. The mean cannot be calculated because there is an even number of data entries.