Mathematics: Pls find the range and interquartile range of the data below. 13, 14, 15, 18, 19, 19, 19, 20 question 2 options: range = 7 iqr = 5 range = 20 iqr = 4 range = 7 iqr = 4.5 range = 13 to 20 iqr = 14.5 to 19

Step-by-step explanation:4x+2y 3y -2x +...

Pls find the range and interquartile range of the

jazzwok

31.12.2021

Option c. Range = 7 IQR = 4.5

Step-by-step explanation:

We have to find the range and interquartile range of the data below :

13, 14, 15, 18, 19, 19, 19, 20

Range: The range of set of data is the difference between the highest and the lowest values of the data set.

Range = Highest value - lowest value

Range = 20 - 13 = 7

Interquartile range (IQR): To find the IQR first we find the median of the data set.

13, 14, 15, 18, 19, 19, 19, 20

Median = (18 + 19)/2 = 18.5

$Q_{2}$ = 18.5

Now we calculate the median of first half of the data set to find $Q_{1}$

13, 14, 15, 18

$Q_{1}$ = (14 + 15)/2 = 14.5

and then calculate the median of second half of the data set to find $Q_{3}$

19, 19, 19, 20

$Q_{3}$ = (19 + 19)/2 = 19

IQR = $Q_{3}$ - $Q_{1}$

IQR = 19 - 14.5 = 4.5

Range = 7

IQR = 4.5

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