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Find the standard deviation of the data set.**Round your answer to the nearest hundredth.48, 30, 24, 42, 60, 24

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Ok, let's find the standard deviation of the data set:

Step 1: calculate the mean.

(48+30+24+42+60+24)/6=228/6=38

Step 2: calculate the square of the distance from the mean for each piece of data.

|48-38|²=10²=100

|30-38|²=8²=64

|24-38|²=14²=196

|42-38|²=4²=16

|60-38|²=22²=484

|24-38|²=14²=196

Step 3: add the values that resulted from step 2.

100+64+196+16+484+196=1056

Step 4: divide by the number of data.

1056/6=176

Step 5: take the square root.

√176≈13.27

Finally we obtain that the standard deviation is 13.27.

User Dan Dye
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