Listed below are the ages of 11 players randomly selected from the roster of a championship sports team. Find the (a) mean, (b) median, (c) mode, and (d) midrange and then (e) determine how the resulting statistics are fundamentally different from those calculated from the jersey numbers of the same 11 players. ### Ages and Jersey Data#### Data Set- **Ages**: 42, 20, 30, 31, 32, 29, 23, 25, 23, 25, 30 - **Jersey Numbers**: 15, 30, 49, 14, 8, 92, 74, 58, 64, 68, 65 #### Summary Statistics- **Mean**: 48.8- **Median**: 58- **Mode**: None- **Minimum (min)**: 8- **Maximum (max)**: 92- **Midrange**: 50### ExplanationThe table contains a dataset of ages and corresponding jersey numbers. The summary statistics for these numbers are also provided:1. **Mean**: The average value of the dataset is 48.8.2. **Median**: The middle value when the numbers are arranged in order, which is 58.3. **Mode**: The value that appears most frequently, which in this case is listed as 'none' indicating no number repeats.4. **Minimum (min)**: The smallest value in the dataset is 8.5. **Maximum (max)**: The largest value in the dataset is 92.6. **Midrange**: This is the average of the minimum and maximum values, calculated as \( \frac{8+92}{2} = 50 \).The interface also includes two control buttons: - **Print** button: Presumably to print the data summary.- **Done** button: Likely to close or finalize the data entry.

The question is about measuresGiven :To find :a ) Meanb ) Medianc ) Moded ) Midrangee ) how the…

Answered: Listed below are the ages of 11 players…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Listed below are the ages of 11 players randomly selected from the roster of a championship sports team. Find the (a) mean, (b) median, (c) mode, and (d) midrange and then (e) determine how the resulting statistics are fundamentally different from those calculated from the jersey numbers of the same 11 players.

### Ages and Jersey Data

#### Data Set
- **Ages**: 42, 20, 30, 31, 32, 29, 23, 25, 23, 25, 30
- **Jersey Numbers**: 15, 30, 49, 14, 8, 92, 74, 58, 64, 68, 65

#### Summary Statistics
- **Mean**: 48.8
- **Median**: 58
- **Mode**: None
- **Minimum (min)**: 8
- **Maximum (max)**: 92
- **Midrange**: 50

### Explanation

The table contains a dataset of ages and corresponding jersey numbers. The summary statistics for these numbers are also provided:

1. **Mean**: The average value of the dataset is 48.8.
2. **Median**: The middle value when the numbers are arranged in order, which is 58.
3. **Mode**: The value that appears most frequently, which in this case is listed as 'none' indicating no number repeats.
4. **Minimum (min)**: The smallest value in the dataset is 8.
5. **Maximum (max)**: The largest value in the dataset is 92.
6. **Midrange**: This is the average of the minimum and maximum values, calculated as \( \frac{8+92}{2} = 50 \).

The interface also includes two control buttons:
- **Print** button: Presumably to print the data summary.
- **Done** button: Likely to close or finalize the data entry.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Expert Solution