Listed below are measured amounts of caffeine in one can

Lucille Smitherman

Lucille Smitherman

Answered question

2021-11-30

Listed below are measured amounts of caffeine in one can from each of 14 brands. Find the standard deviation, for the given sample data. (Round your answer to the nearest tenths)
57,34,30,44,10,33,41,60,47,56,41,31,20,10
1) 14
2) 16
3) 237.2
4) 230

Answer & Explanation

mylouscrapza

mylouscrapza

Beginner2021-12-01Added 22 answers

Step 1
We first find the mean (57+34+30+44+10+33+41+60+47+56+41+31+20+10)14=6.7143
Step 2
Then we make a table:
datadatamean(datamean)25720.2857411.50962449342.71437.36742449306.714345.08182449447.285753.081424491026.7143713.65382449333.714313.79602449414.285718.367224496023.2857542.223824494710.2857105.795624475619.2857371.93822449414.285718.36722449315.714332.653224492016.7143279.367824491024.7143713.65382449
The sum of the third column is =3326.8571
So the sample variance =3326.8571141=255.912084615
The sample standard deviation =255.912084615=15.997252408316
Answer: 16

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