## Please show your work to find the mean and standard deviation of the data. Round to the nearest tenth. 20,16,18,14,9,20,16

Question

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## Answers ( )

Answer:3.6

Step-by-step explanation:1. Find the Mean

(20+16+18+14+9+20+16)/7 = 16.1

2.For each number, subtract the Mean and square the result.

(20-16.1)^2=15.2

(16-16.1)^2=0

(18-16.1)^2=3.6

(14-16.1)^2=4.4

(9-16.1)^2=50.4

(20-16.1)^2=15.2

(16-16.1)^2=0

3. Find the Mean of those squared differences.

(15.2+0+3.6+4.4+50.4+15.2+0)/7=12.7

4.Take the square root of that and this is what you want.

square root of 12.7 = 3.6