Question

Consider the following sample data set: 34, 41, 23, 22, 23, 42, 24, 24, 69, 36. What is the standard deviation?

Answer 1

Answer:

standard deviation comes out to be equal to 14.63

Step-by-step explanation:

given numbers,

34, 41, 23, 22, 23, 42, 24, 24, 69, 36

arranging in ascending order

22, 23, 23, 24, 24, 34. 36, 41, 42, 69

mean =  $\dfrac{22+23+23+24+24+34+36+41+42+69}{10}$

          = 33.8

standard deviation =  $\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}$

                               =   $\sqrt{\frac{1927.6}{10-1}}$

                               = 14.63

hence, the standard deviation comes out to be equal to 14.63