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Ten students took a test, and their scores are as follows: 20 82 90 35 60 61 65 75 79 80 (a). Find the sample variance. (b). Find the inter quartile range. (c). v them on the box-plot. Draw a box-plot for the above data in the space given below. If there are any outliers, make sure t to 20 30 40 50

Ten students took a test, and their scores are as follows: 20 82 90 35 60 61 65 75 79 80 (a). Find the sample variance. (b). Find the inter quartile range. (c). v them on the box-plot. Draw a box-plot for the above data in the space given below. If there are any outliers, make sure t to 20 30 40 50

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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(1). Ten students took a test, and their scores are as follows: 82 90 20 35 60 61 65 75 79 80 (a). Find the sample variance. (b). Find the inter quartile range. (c). show them on the box-plot. Draw a box-plot for the above data in the space given below. If there are any outliers, make sure to : to 20 30 40 50 80 70 90 100
Transcribed Image Text:(1). Ten students took a test, and their scores are as follows: 82 90 20 35 60 61 65 75 79 80 (a). Find the sample variance. (b). Find the inter quartile range. (c). show them on the box-plot. Draw a box-plot for the above data in the space given below. If there are any outliers, make sure to : to 20 30 40 50 80 70 90 100
Expert Solution
Step 1

a

Arrange the given data in ascending order :

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

Sample variance :

Xi x Xi-x Xi-x2
20 64.7000 -44.7000 1998.0900
35 64.7000 -29.7000 882.0900
60 64.7000 -4.7000 22.0900
61 64.7000 -3.7000 13.0900
65 64.7000 0.3000 0.0900
75 64.7000 10.3000 106.0900
79 64.7000 14.3000 204.4900
80 64.7000 15.3000 234.0900
82 64.7000 17.3000 299.2900
90 64.7000 25.3000 640.0900

∑Xi-x2 = 4400.1

Sample size, n = 10

Mean

∑X = 20+35+60+61+65+75+79+80+82+90

∑X = 647

X = ∑Xn

   = 64710= 64.7

Sample variance :

S2 = ∑Xi-xn-1

     = 4400.110-1= 488.9

Sample variance is = 488.9

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