### Sample Variance and Interquartile Range Calculation**Problem Statement:**Ten students took a test, and their scores are as follows: 82, 90, 20, 35, 60, 61, 65, 75, 79, 80---**Tasks:**(a) **Find the Sample Variance.** (b) **Find the Interquartile Range (IQR).** (c) **Draw a Box-Plot for the above data.** If there are any outliers, make sure to show them on the box-plot.---**Explanation of Diagram Elements:**- The image contains two rectangular boxes drawn to the right of the text, presumably for answers related to sample variance and interquartile range.- Below the text, there is a blank box-plot template provided with a number line ranging from 0 to 100, marked at intervals of 10.---To fulfill the tasks, calculate as follows:**(a) Sample Variance Calculation:** - Compute the mean (average) of the scores. - Subtract the mean from each score to find the deviation of each score. - Square each deviation. - Find the average of these squared deviations (variance).**(b) Interquartile Range Calculation:** - Arrange the scores in ascending order. - Identify the first quartile (Q1) and the third quartile (Q3). - Calculate the Interquartile Range (IQR) as Q3 - Q1.**(c) Box-Plot Construction:** - Mark the minimum, Q1, median, Q3, and maximum values on the number line. - Draw rectangles (boxes) between Q1 and Q3, and a line at the median. - Identify any potential outliers and indicate them on the plot.Ensure to complete these calculations before creating a finalized version of the box-plot.

Answered: Ten students took a test, and their…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

Related questions

Question

Expert Solution

Step 1

$(a)$

Arrange the given data in ascending order :

20, 35, 60, 61, 65, 75, 79, 80, 82, 90

Sample variance :