Question

8) Life Expectancy by CountryStem5Leaf0 56768973 4 4 5 6 6 89824Key: 619 = 69A) Median = 71.5 and Mean = 69.44B) Median = 74 and Mean = 70.38C) Median = 71 and Mean = 68.69D) Median = 74.5 and Mean = 71

Answer 1

Solution

For this case we have the following values:

50, 55, 56, 57

68, 69, 73, 74,

74, 75, 76, 76,

78, 79, 82, 84

Then we can find the mean like this:

$\text{Mean}=\frac{50+55+56+57+68+69+73+74+74+75+76+76+78+79+82+84}{16}=70.38$

And then since we have 16 values we can find the medain with the following operation:

Median = (74+74)/2 = 74

Then the correct answer is:

b) Median = 74 and Mean = 70.38