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The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the 5-number summary and use it to create a boxplot. 18, 20, 23, 27, 29, 33, 36, 36

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fichoh

Answer:

18 ; 21.5 ; 28 ; 34.5 ; 36

Box plot is attached below

Step-by-step explanation:

Given the data :

18, 20, 23, 27, 29, 33, 36, 36

The 5 number summary :

Rearranged data in ascending order :

18, 20, 23, 27, 29, 33, 36, 36

Minimum = 18

First quartile (Q1) = 1/4(n +1)th term ;

n = sample size = 8

1/4 * 9 = 2.25th term

(20 + 23) / 2 = 21.5

Second quartile (Q2) = 1/2(n +1)th term ;

n = sample size = 8

1/2 * 9 = 4.5th term

(27 + 29) / 2 = 28

Third quartile (Q3) = 3/4(n +1)th term ;

n = sample size = 8

3/4 * 9 = 6.75th term

(33 + 36) / 2 = 34.5

Maximum = 36

Ver imagen fichoh