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?
45 31 38 97 33 29 74 32 46 51 42
...
( type an integer or a decimal rounded to one decimal place as needed. )
c. find the mode.
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:

c. Find the mode

The mode is the value that appears most frequently in a data set. Let's list out the jersey numbers: 45, 31, 38, 97, 33, 29, 74, 32, 46, 51, 42. Each number appears exactly once. Since no number is repeated, there is no mode.

Step1: Identify the maximum and minimum values

The data set is 29, 31, 32, 33, 38, 42, 45, 46, 51, 74, 97. The minimum value ($\text{min}$) is 29 and the maximum value ($\text{max}$) is 97.

Step2: Calculate the midrange

The formula for midrange is $\frac{\text{max} + \text{min}}{2}$. Substituting the values, we get $\frac{97 + 29}{2}=\frac{126}{2} = 63.0$.

Answer:

B. There is no mode.

d. Find the midrange