Question
Asked Sep 25, 2019
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Determine the median and the first and third quartiles in the following data.

 

                     
46 47 49 49 51 53 54 54 55 55 59
 
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Expert Answer

Step 1

Median:

Median is the middle most value of all the observations.

The median for the given data can be obtained by entering the formula “=MEDIAN(A1:A11)” in EXCEL software.

The EXCEL output is shown below:

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MEDIAN(A1:A11) B1 A B F 46 1 53 2 47 3 49 4 49 5 51 6 53 7 54 8 54 9 55 10 55 11 59 LL ш LC OC

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Step 2

Thus, the median for the data is 53.

Quartiles:

Quartiles are the values those divides the data into four equal parts.

The first quartile for the given data can be obtained by entering the formula “=QUARTILE....

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-QUARTILE.EXC(A1:A11, 1) fo B1 A B E 49 1 46 2 47 3 49 49 51 6 53 7 54 8 54 55 10 55 11 59 st LC

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