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PLEASE!!!!!!!
I DO NOT GET THIS AND DONT JUST GIVE AN ANSWER I WHANT TO KNOW HOW TO DO IT The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.
29, 5, 26, 20, 23, 18, 17, 21, 28, 20
Order the values:
5, 17, 18, 20, 20, 21, 23, 26, 28, 29
Determine the median:
= = 20.5
Calculate the measures of variability for the data set.
The range is_____  touchdowns.
The interquartile range is _____touchdowns.

Respuesta :

kaitlinsierras

Answer:

range: 24

interquartile range: 8

Step-by-step explanation:

edg2020

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For the given set of data, the median is 20.5, the range is 24 and the interquartile range is 8.

The given set of data is 5, 17, 18, 20, 20, 21, 23, 26, 28, 29.

How to find the interquartile range?

To find the interquartile range (IQR), ​first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Median of the given data 5, 17, 18, 20, 20, 21, 23, 26, 28, 29 is (20+21)/2=20.5.

Range=Highest observation-Lowest observation=29-5=24.

To find Q1:

5, 17, 18, 20, 20

So, Q1=18

To find Q3:

21, 23, 26, 28, 29

So, Q3=26

Now, IQR=Q3-Q1=26-18=8.

Therefore, for the given set of data median is 20.5, the range is 24 and the interquartile range is 8.

To learn more about the interquartile range visit:

https://brainly.com/question/4135956.

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