Question

The data list shows the amount of rainfall, in feet, on Mt. Waialeale, Hawaii—one of the wettest places on Earth.

33, 37, 42, 39, 25, 51, 40, 38

What is the population standard deviation, to the nearest tenth, of the data (assuming this is all of the data)?

Answer 1

I believe it's 7.07.

Hope this helped!

Answer 2

Hence, the standard deviation(S.D.) to the nearest tenth is:

6.9

Explanation:

The steps for finding the standard deviation are:

• find the Mean (the simple average of the numbers)

• Then for each number: subtract the Mean and square the result.

• Then work out the mean of those squared differences.

• Take the square root of that and we are done.

so we will make it's table as:

Let μ denote the mean and X denote the entries.

X X-μ (X-μ)^2

33 -5.125 26.265625

37 -1.125 1.265625

42 3.875 15.015625

39 0.875 0.765625

25 -13.125 172.265625

51 12.875 165.765625

40 1.875 3.515625

38 -0.125 0.015625

μ=38.125.

Now Variance(V)=(Σ(X-μ)^2)/8=(384.875)/8=48.109375

Now square root of V is:6.936092091

So, √V=S.D.=6.9(to the nearest tenth)