Using the data below (assume the data comes from a population)5,8,14,6,21,11,9,10,18,2A.  Calculate the three measures of central tendencyB. Calculate the standard deviation of the data and what the variance isC. Draw a box plotD. Using the IQR X 1.5(Interquartile Range), Can you identify any outliers in the data?

Question
Asked Oct 2, 2019
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Using the data below (assume the data comes from a population)

5,8,14,6,21,11,9,10,18,2

A.  Calculate the three measures of central tendency

B. Calculate the standard deviation of the data and what the variance is

C. Draw a box plot

D. Using the IQR X 1.5(Interquartile Range), Can you identify any outliers in the data?

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Expert Answer

Step 1

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Step 2

Consider, X = 5, 8, 14, 6, 21, 11, 9, 10, 18, 2.

 (a)

Three measures of central tendency are mean, median and mode.

Here, mean using the provided data can be calculated as:

Sum of observations
Total number of observations
5+814 621 1191018 2
10
=10.40
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Sum of observations Total number of observations 5+814 621 1191018 2 10 =10.40

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Step 3

Median is the middle most value of the arranged data set, which divides the data into two equal parts.

In order to calculate median, arrange the provided data in ascen...

th
th
n
1
2
term
2
term
Median=
2
th
10
th
10
+1
2
term
term
2
2
5th term 6 term
2
9 10
2
= 9.5
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Image Transcriptionclose

th th n 1 2 term 2 term Median= 2 th 10 th 10 +1 2 term term 2 2 5th term 6 term 2 9 10 2 = 9.5

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