A sample of 10 students scored the following grades: 15,19,17,39,11,20,18,37,31,35 Find

Pamela Meyer

Pamela Meyer

Answered question

2021-12-10

A sample of 10 students scored the following grades: 15,19,17,39,11,20,18,37,31,35
Find the Median of the data set
Compute the Standard deviation.

Answer & Explanation

sirpsta3u

sirpsta3u

Beginner2021-12-11Added 42 answers

Step 1
To find the median we have to arrange the data set first.
That is: 15 17 18 19 20 31 33 35 37 39
Since there are 10 values in the data set we take the average of (102)=5th and (102)+1=6th value
5th value=20
6th value=31
So median =20+312=512=25.5
Answer: Median=25.5
Step 2
To find the standard deviation we need to find mean first
Mean is:
15+19+17+39+33+20+18+37+31+3510=26.4
Then we make a table
datadatamean(datamean)21511.4129.96197.454.76179.488.363912.6158.76336.643.56206.440.96188.470.563710.6112.36314.621.16358.673.96
Then we add the values in the last column
(xiX)2=794.4
Then use it to find the standard deviation
(xiX)2n1=794.4101=9.39503414931
Answer: SD=9.39503414931

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