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? 50 48 61 9 56 46 20 60 97 73 34 O Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode(s) is(are) (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O 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.) e. What do the results tell us? O A. Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results. O B. The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers. OC. The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers. O D. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

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### Statistical Analysis of Jersey Numbers

This section provides an example of calculating basic statistical measures—mean, median, mode, and midrange—using a set of data. It also includes an interpretation of the results.

#### Problem Statement
**Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.**

#### Data
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team:

50, 48, 61, 9, 56, 46, 20, 60, 97, 73, 34

#### Questions
- (a) **Calculate the Mean**
- (b) **Determine the Median**
- (c) **Identify the Mode**
- (d) **Compute the Midrange**
- (e) **Analyze the Results**

#### Steps and Handout
1. **Mode Calculation:**
   Select the correct choice and, if necessary, fill in the blanks to complete the answer:
   - **Option A**: The mode(s) is(are) ____. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
   - **Option B**: There is no mode.

2. **Midrange Calculation:**
   Find the midrange.
   - **Midrange:**
     The midrange is ____. (Type an integer or a decimal rounded to one decimal place as needed.)

3. **Interpreting Results:**
   What do the results tell us?
   - **Option A**: Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results.
   - **Option B**: The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers.
   - **Option C**: The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers.
   - **Option D**: The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

#### Explanation of Statistical Measures
- **Mean**: The average value of the dataset.
- **Median**: The middle value when the data points are arranged in ascending order.
-
Transcribed Image Text:### Statistical Analysis of Jersey Numbers This section provides an example of calculating basic statistical measures—mean, median, mode, and midrange—using a set of data. It also includes an interpretation of the results. #### Problem Statement **Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.** #### Data Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team: 50, 48, 61, 9, 56, 46, 20, 60, 97, 73, 34 #### Questions - (a) **Calculate the Mean** - (b) **Determine the Median** - (c) **Identify the Mode** - (d) **Compute the Midrange** - (e) **Analyze the Results** #### Steps and Handout 1. **Mode Calculation:** Select the correct choice and, if necessary, fill in the blanks to complete the answer: - **Option A**: The mode(s) is(are) ____. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) - **Option B**: There is no mode. 2. **Midrange Calculation:** Find the midrange. - **Midrange:** The midrange is ____. (Type an integer or a decimal rounded to one decimal place as needed.) 3. **Interpreting Results:** What do the results tell us? - **Option A**: Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results. - **Option B**: The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers. - **Option C**: The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers. - **Option D**: The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless. #### Explanation of Statistical Measures - **Mean**: The average value of the dataset. - **Median**: The middle value when the data points are arranged in ascending order. -
**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?
```
50, 48, 61, 9, 56, 46, 20, 60, 97, 73, 34
```

**a. Find the mean.**
```
The mean is [  ].
(Type an integer or a decimal rounded to one decimal place as needed.)
```

**b. Find the median.**
```
The median is [  ].
(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.)
```
Transcribed Image Text:**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? ``` 50, 48, 61, 9, 56, 46, 20, 60, 97, 73, 34 ``` **a. Find the mean.** ``` The mean is [ ]. (Type an integer or a decimal rounded to one decimal place as needed.) ``` **b. Find the median.** ``` The median is [ ]. (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.) ```
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