Question

Asked Oct 27, 2019

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Use the accompanying data set to complete the following actions.

a. Find the quartiles.

b. Find the interquartile range.

c. Identify any outliers.

42 51 37 43 40 36 39 46 45 38 34 55 42 36 15 51 39 51 29 30

Step 1

**a.Obtaining quartiles of this data:**

The first quartile for the given data can be obtained by entering the formula “=QUARTILE.EXC(A1:A20,1)” in EXCEL software.

The value of the first quartile is **36**.

The second quartile for the given data can be obtained by entering the formula “=QUARTILE.EXC(A1:A20,2)” in EXCEL software.

The value of the first quartile is **39.5**.

The third quartile for the given data can be obtained by entering the formula “=QUARTILE.EXC(A1:A20,3)” in EXCEL software.

The value of the first quartile is **45.75**.

Step 2

**b.obtaining interquartile range of this data is,**

Inter quartile range is,

IQR=Q_{3}–Q_{1}=45.75–39.5=**6.25**

Step 3

**c.The outlier is identified below:**

Excel add-in (MegaStat) procedure:

Step 1: In EXCEL, Select Add-Ins > MegaStat > Descriptive Statistics.

Step 2: In Input range, select the cell range A1:A20.

Step 3: Check Select Defaults.

Step 4: Choose Boxplot.

Step 5: Click OK.

The output is obtained below:

From the output, the outlier observat...

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