Question

in the last 10 games of the 2019 season, a particular womens basketball team scored 68, 73, 90, 62, 89, 81, 97, 64, 65, and 88 points. determine the mean, median, mode, and midrange.

the mean of the data set is 77.7.
(type an integer or a decimal.)

the median of the data set is 77.
(type an integer or a decimal.)

select the correct choice below and, if necessary, fill in the answer box within your choice.

a. the mode of the data set is
(type an integer or a decimal. use a comma to separate answers as needed.)
b. there is no mode.

Explanation:

Organize the data set

Using the Median Calculation knowledge point

$$ \text{Sorted data: } 62, 64, 65, 68, 73, 81, 88, 89, 90, 97 $$

Calculate the mean

Using the Mean Calculation knowledge point

$$
LATEXBLOCK0
$$

Calculate the median

Using the Median Calculation knowledge point

$$
LATEXBLOCK1
$$

Determine the mode

To find the mode, we look for the value that occurs with the highest frequency in the data set.
Looking at our sorted data set:

$$ 62, 64, 65, 68, 73, 81, 88, 89, 90, 97 $$

Each number appears exactly once. Since no value is repeated, there is no value that occurs more frequently than any other. Therefore, this data set has no mode.

Calculate the midrange

Using the Midrange Calculation knowledge point

$$
LATEXBLOCK2
$$

Answer:

The mean of the data set is <blank>77.7</blank>.

The median of the data set is <blank>77</blank>.

• A. The mode of the data set is
• B. There is no mode. (Correct answer)