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The data below represent the age (in vears) for 30 randomly selected students on campus this qu 26 31 28 31 16 19 30 18 26 24 29 23 21 30 28 30 18 36 33 23 23 25 34 34 30 34 29 1. Use the data to fill in the frequency table below. Use 5 classes.

The data below represent the age (in vears) for 30 randomly selected students on campus this qu 26 31 28 31 16 19 30 18 26 24 29 23 21 30 28 30 18 36 33 23 23 25 34 34 30 34 29 1. Use the data to fill in the frequency table below. Use 5 classes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Educational Website Content** --- ### Question 2: Histogram Representation **Task:** Use the information in the frequency table to draw a histogram representing the data. Please include units and labels on the axes. **Graph Description:** - **X-Axis:** Labeled as "age (in years)" with values: 15, 20, 25, 30, 35, 40. - **Y-Axis:** Labeled as "frequency" with values in increments of 2, ranging from 0 to 10. - **Bars:** - Ages 15 and 20: Frequency is approximately 6. - Ages 25 and 30: Frequency is approximately 10. - Age 35: Frequency is approximately 6. - Age 40: Frequency is approximately 2. ### Question 3: 5 Number Summary **Task:** Compute the 5 number summary for the data. Feel free to use your calculator (1 variable stats). - **Minimum (min):** 16 - **Maximum (max):** 36 - **Median (Q2):** \( \frac{(28 + 28)}{2} = 28 \) - **First Quartile (Q1):** 23 - **Third Quartile (Q3):** 31 ### Question 4: Box and Whisker Plot **Task:** Create a box and whisker plot using the 5 number summary. Please include the location of outliers, if any. Remember to put a number line down with consistent increments before plotting the 5 number summary. Also, place the “boundaries” for outliers and explain how you got them. **Plot Details:** - **Number Line Range:** 15 to 40 in increments of 5. - **Box Plot:** - **Whiskers:** Extend from 16 to 36. - **Box:** Drawn from Q1 (23) to Q3 (31). - **Median (Q2):** Marked inside the box at 28. **Outliers:** There are no outliers since all data points fall within the indicated whiskers. **Note:** The explained notes in the plot mention "data has no outliers b/c it is all within box plot." ---
Transcribed Image Text:**Educational Website Content** --- ### Question 2: Histogram Representation **Task:** Use the information in the frequency table to draw a histogram representing the data. Please include units and labels on the axes. **Graph Description:** - **X-Axis:** Labeled as "age (in years)" with values: 15, 20, 25, 30, 35, 40. - **Y-Axis:** Labeled as "frequency" with values in increments of 2, ranging from 0 to 10. - **Bars:** - Ages 15 and 20: Frequency is approximately 6. - Ages 25 and 30: Frequency is approximately 10. - Age 35: Frequency is approximately 6. - Age 40: Frequency is approximately 2. ### Question 3: 5 Number Summary **Task:** Compute the 5 number summary for the data. Feel free to use your calculator (1 variable stats). - **Minimum (min):** 16 - **Maximum (max):** 36 - **Median (Q2):** \( \frac{(28 + 28)}{2} = 28 \) - **First Quartile (Q1):** 23 - **Third Quartile (Q3):** 31 ### Question 4: Box and Whisker Plot **Task:** Create a box and whisker plot using the 5 number summary. Please include the location of outliers, if any. Remember to put a number line down with consistent increments before plotting the 5 number summary. Also, place the “boundaries” for outliers and explain how you got them. **Plot Details:** - **Number Line Range:** 15 to 40 in increments of 5. - **Box Plot:** - **Whiskers:** Extend from 16 to 36. - **Box:** Drawn from Q1 (23) to Q3 (31). - **Median (Q2):** Marked inside the box at 28. **Outliers:** There are no outliers since all data points fall within the indicated whiskers. **Note:** The explained notes in the plot mention "data has no outliers b/c it is all within box plot." ---
**Data Analysis: Student Age** The data below represent the age (in years) for 30 randomly selected students on campus this quarter: Ages: 26, 31, 28, 27, 31, 19, 30, 18, 28, 26 24, 23, 21, 30, 16, 19, 18, 36, 23, 23 30, 29, 23, 25, 34, 34, 29, 29, 34, 30 1. **Frequency Table Analysis** Use the data to fill in the frequency table below. Use 5 classes. | Class Limits | Class Boundaries | Midpoints | Frequencies | Relative Frequencies | |--------------|------------------|-----------|-------------|----------------------| | 15 - 20 | 15 - 19.99 | 17.5 | 5 | 0.1667 | | 20 - 25 | 20 - 24.99 | 22.5 | 5 | 0.1667 | | 25 - 30 | 25 - 29.99 | 27.5 | 8 | 0.2667 | | 30 - 35 | 30 - 34.99 | 32.5 | 11 | 0.3667 | | 35 - 40 | 35 - 39.99 | 37.5 | 1 | 0.0333 | Note: The sum of relative frequencies equals 1. 2. **Data List for Frequency Count**: 16, 18, 18, 18, 19, 19, 20, 21, 23, 23, 23, 23, 23, 24, 24, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 31, 31, 34, 34, 34, 34, 36 3. **Calculating Class Width**: -
Transcribed Image Text:**Data Analysis: Student Age** The data below represent the age (in years) for 30 randomly selected students on campus this quarter: Ages: 26, 31, 28, 27, 31, 19, 30, 18, 28, 26 24, 23, 21, 30, 16, 19, 18, 36, 23, 23 30, 29, 23, 25, 34, 34, 29, 29, 34, 30 1. **Frequency Table Analysis** Use the data to fill in the frequency table below. Use 5 classes. | Class Limits | Class Boundaries | Midpoints | Frequencies | Relative Frequencies | |--------------|------------------|-----------|-------------|----------------------| | 15 - 20 | 15 - 19.99 | 17.5 | 5 | 0.1667 | | 20 - 25 | 20 - 24.99 | 22.5 | 5 | 0.1667 | | 25 - 30 | 25 - 29.99 | 27.5 | 8 | 0.2667 | | 30 - 35 | 30 - 34.99 | 32.5 | 11 | 0.3667 | | 35 - 40 | 35 - 39.99 | 37.5 | 1 | 0.0333 | Note: The sum of relative frequencies equals 1. 2. **Data List for Frequency Count**: 16, 18, 18, 18, 19, 19, 20, 21, 23, 23, 23, 23, 23, 24, 24, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 31, 31, 34, 34, 34, 34, 36 3. **Calculating Class Width**: -
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