Question

find the (a) mean, (b) median, (c) mode, and (d) midrange for the data
and then (e) answer the given question.
listed below are the jersey numbers of 11 players randomly selected
from the roster of a championship sports team. what do the results
tell us?
23 9 21 7 41 67 24 64 4 6 61
...
select the correct choice below and, if necessary, fill in the answer box
to complete your choice.
○ a. the mode(s) is(are) □.
(type an integer or a decimal. do not round. use a comma to
separate answers as needed.)
○ b. there is no mode.
d. find the midrange.
the midrange is □.
(type an integer or a decimal rounded to one decimal place
as needed.)

Explanation:

Step1: Recall the formula for midrange

The midrange is calculated as the average of the maximum and minimum values in the data set, i.e., \(\text{Midrange} = \frac{\text{Maximum value} + \text{Minimum value}}{2}\).

Step2: Identify the maximum and minimum values

First, we list out the data set: \(23, 9, 21, 7, 41, 67, 24, 64, 4, 6, 61\).

• The minimum value in this data set is \(4\) (since \(4\) is the smallest number among all the values).
• The maximum value in this data set is \(67\) (since \(67\) is the largest number among all the values).

Step3: Calculate the midrange

Using the formula for midrange, we substitute the maximum and minimum values:
\[
\text{Midrange} = \frac{67 + 4}{2} = \frac{71}{2} = 35.5
\]

Answer:

\(35.5\)