Question #17303

I'm on an iPad and it wouldn't let me select stats.
Find the sample standard deviation for the following data 15,16,17,18,19
I got 1.5 but I'm not sure if it's correct

Expert's answer

Question #17303 Find the sample standard deviation for the following data 15,16,17,18,19. I got 1.5 but I'm not sure if it's corrects.

Solution. First, calculate the mean of this sample (15+16+17+18+19)/5=17(15 + 16 + 17 + 18 + 19) / 5 = 17, a standard deviation equals 15((1517)2+(1617)2+(1717)2+(1817)2+(1917)2)=21.23\sqrt{\frac{1}{5}((15 - 17)^2 + (16 - 17)^2 + (17 - 17)^2 + (18 - 17)^2 + (19 - 17)^2)} = \sqrt{2} \approx 1.23.

Answer. 2\sqrt{2} or approximately 1.23.

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