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Cowboys Refer to Exercise 80

(a) Find and interpret the interquartile range (IQR).

(b) Determine whether there are any outliers. Show your work.

Short Answer

Expert verified

Part (a) The flier interquartile range is 12

Part (b) All the items are within the range thus there are no outliers.

Step by step solution

01

Part (a) Step 1: Given information

The table is

S. No.Quiz grade
1285
2303
3305
4306
5309
6315
7318
02

Part (a) Step 2: Concept

The interquartile range describes the spread of your distribution's middle half. Any distribution that is sorted from low to high is divided into four equal sections by quartiles.

03

Part (a) Step 3: Calculation

The flier interquartile range (IQR) is calculated asQ1=N+14thitemQ1=7+14thitemQ1=84thitemQ1=2thitem=303Q3=3(N+1)4thitemQ3=3(7+1)4thitemQ3=244thitemQ3=6thitem=315IQR=Q3Q1=315303=12=12

Therefore, the flier interquartile range is 12

04

Part (b) Step 1: Calculation

We can conclude that there are no outliers in Joe's first 14 quiz grades in a marking session. If an observation falls more than 1.5 IQR above or below the First quartile, it is considered an outlier.IQR1.5121.5=18Q118=30318=285Q318=315+18=333

There are no outliers because all of the items are within the range. Thus there are no outliers.

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