The scores on a test in a college statistics class are listed below.(a) Calculate the median test score.58, 62, 67, 68, 70, 72, 74, 76, 78, 80, 83, 84, 87, 88, 94, 95, 98, 100(b) Find the values of Q, and Q3.=93 =(c) Select the correct boxplot based upon the given data set.10010아10아9아아아608아760-5아9아8우아60-100-아아7아60-5아

Answered: The scores on a test in a college…

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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Related questions

Question

The scores on a test in a college statistics class are listed below.
(a) Calculate the median test score.
58, 62, 67, 68, 70, 72, 74, 76, 78, 80, 83, 84, 87, 88, 94, 95, 98, 100
(b) Find the values of Q, and Q3.
=
93 =
(c) Select the correct boxplot based upon the given data set.
100
10아
10아
9아
아
아
60
8
아
7
60-
5아
9아
8우
아
60-
100-
아
아
7아
60-
5아

Expert Solution

Step 1: Introduce the given information

Given the scores on a test in a college statistics class are,

58, 62, 67, 68, 70, 72, 74, 76, 78, 80, 83, 84, 87, 88, 94, 95, 98, 100

So, sample size, n = 18

Using formulas,

$M e d i a n equals fraction numerator open square brackets n over 2 close square brackets to the power of t h end exponent space t e r m plus open square brackets n over 2 plus 1 close square brackets to the power of t h end exponent space t e r m over denominator 2 end fraction$ ; when n is even.

$Q subscript 1 equals 1 fourth left parenthesis n plus 1 right parenthesis to the power of t h end exponent space t e r m$

$Q subscript 3 equals 3 over 4 left parenthesis n plus 1 right parenthesis to the power of t h end exponent space t e r m$