Range 107, S. 13.9 Variana 2) 1817, 24 24.125.24.22.24.25 Range Ave, Dev.: Varia…

Range 107, S. 13.9 Variana 2) 1817, 24 24.125.24.22.24.25 Range Ave, Dev.: Variance: Standard Dov Standard Dev.: 3) 2. 7. 2.5, 3.2, 3.6, 38, 3.3, 2.3 Range Ave. Dev.: Variance: Standard Dev.. 4) 1.81, 1.63, 1.42, 1.8, 0.95, 0.76, 1.23, 1.15, 1.24 Range: Ave. Dev.: Variance: Standard Dev. 5) 92, 92, 89, 88, 81, 91, 93, 90, 95, 87 Range: Ave. Dev.: Standard Dev.: Variance:​

Answer:

Results

Variance: 2.5

Standard Deviation: 1.5811388300841898

Explanation

First, I added up all of the numbers:1 + 2 + 3 + 4 + 5 = 15

I squared the total, and then divided the number of items in the data set15 x 15 = 225

225 / 5 = 45

I took my set of original numbers from step 1, squared them individually this time, and added them all up:(1 x 1) + (2 x 2) + (3 x 3) + (4 x 4) + (5 x 5) = 55

I subtracted the amount in step 2 from the amount in step 3:55 – 45 = 10

I subtracted 1 from the number of items in my data set:5 – 1 = 4

I divided the number in step 4 by the number in step 5:10 / 4 = 2.5

This is my Variance!

Finally, I took the square root of the number from step 6 (the Variance),

√(2.5) = 1.5811388300841898

This is my Standard Deviation!

variance and standard deviation calculator

Standard deviations are a unit of measurement; they measure how spread out your data is around the mean. The bulk of data (68%) lies within one standard deviation from the mean.

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