Q2,3,4 The data below represent the age (in years) for 30 randomly selected students on campus this quarter:26, 31, 28, 27, 31, 19, 30, 28, 26, 20, 24, 23, 32, 25, 36, 18, 36, 33, 23, 23, 30, 29, 23, 25, 34, 29, 32, 34, 30, 301. 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 |- **Class Limits and Boundaries**: The age data is grouped into five classes, each with specified limits and boundaries. - **Midpoints**: The midpoint of each class is calculated to be the average of the upper and lower class limits.- **Frequencies**: The frequency column indicates how many data points fall within each class.- **Relative Frequencies**: This column represents the proportion of the total data points that fall within each class, calculated by dividing the frequency by the total number of observations (30).**Additional Calculations and Notes**:- **Class Width**: Calculated as `range / number of class intervals = (36 - 16) / 5 = 4.0`, approximated to 5.- **Relative Frequency**: Calculated for each class as `observed frequency / total ### Instructions for Data Representation2. **Histogram Creation** Use the information in the frequency table to draw a histogram representing the data. Ensure you include units and labels on the axes. *Note:* A histogram is a graphical representation of data using bars of different heights. It is similar to a bar chart but groups numbers into ranges. The histogram's bars touch each other to represent continuous data.3. **Five-Number Summary** Compute the five-number summary for the data. This summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. Feel free to use your calculator for one-variable statistics. *Five-Number Summary:* - **Minimum**: The smallest data point. - **First Quartile (Q1)**: The median of the first half of the data set. - **Median (Q2)**: The middle value of the data set. - **Third Quartile (Q3)**: The median of the second half of the data set. - **Maximum**: The largest data point.4. **Box and Whisker Plot** Create a box and whisker plot using the five-number summary. Include the location of outliers, if any. Remember to draw a number line with consistent increments before plotting the five-number summary. Additionally, define the "boundaries" for outliers and explain how you determined them. *Note:* A box and whisker plot is a way to visually depict the distribution of numerical data through their quartiles. It highlights the median and variability outside the upper and lower quartiles. Outliers can be identified using this plot based on the calculated boundaries.

A data can be raw or grouped, with some pro and cons associated with both of them. The raw data has…

Answered: The data below represent the age (in…

The data below represent the age (in years) for 30 randomly selected students on campus this quarter. 26 31 25 30 28 31 16 34 24 25 19 30 23 28 26 30 29 18 18 36 33 23 23 25 34 29 32 34 30

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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