find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given…

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? 34 13 38 94 78 6 72 26 7 37 48. a. find the mean. the mean is 41.2. (type an integer or a decimal rounded to one decimal place as needed.) b. find the median. the median is 37. (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.

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? 34 13 38 94 78 6 72 26 7 37 48. a. find the mean. the mean is 41.2. (type an integer or a decimal rounded to one decimal place as needed.) b. find the median. the median is 37. (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.

Answer

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 11$, and $\sum_{i=1}^{11}x_{i}=34 + 13+38 + 94+78+6+72+26+7+37+48=453$. So, $\bar{x}=\frac{453}{11}\approx41.2$.

Step2: Calculate the median

First, order the data set: $6,7,13,26,34,37,38,48,72,78,94$. Since $n = 11$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{11+1}{2}=6$ - th value, which is $37$.

Step3: Calculate the mode

The mode is the value that appears most frequently in the data set. In the data set $34,13,38,94,78,6,72,26,7,37,48$, each value appears only once. So, there is no mode.

Step4: Calculate the mid - range

The mid - range is calculated as $\frac{\text{Minimum value}+\text{Maximum value}}{2}$. The minimum value is $6$ and the maximum value is $94$. So, the mid - range is $\frac{6 + 94}{2}=50$.

Answer:

a. The mean is $41.2$. b. The median is $37$. c. B. There is no mode. d. The mid - range is $50$. e. The measures of central tendency (mean, median, mode, mid - range) of the jersey numbers do not have any real - world significance in terms of the performance or characteristics of the sports team. Jersey numbers are nominal data (used for identification purposes only) and these statistical measures applied to them are just mathematical results without inherent meaning related to the sport or the players' abilities.