Question

7. Over the past 50 years, the number of hurricanes that have been reported are as follows: 9 times there were 6 hurricanes, 13 times there were 8 hurricanes, 16 times there were 12 hurricanes, and in the remaining years there were 14 hurricanes. What is the mean number of hurricanes is a year

Answer 1

Explanation:

Let us first generate the frequency table from the information given:

Hurricane number(X) Frequency(f) f(X)

6 9 54

8 13 104

12 16 192

14 12 168

Total ∑(f) = 50 ∑f(x) =518

In order to determine the last frequency (the remaining years), we will add the other frequencies and subtract the answer from 50, which is the total frequency (50 years). This is done as follows:

Let the last frequency be f

9 + 3 + 16 + f = 50

38 + f = 50

f = 50 - 38 = 12

Now, calculating mean:

`\bar {X} = (\sum f(x))/(\sum(f)) \\\\\bar {X} = (518)/(50) \\\\\bar {X} = 10.36`

Therefore mean number of hurricanes = 10.4 (to one decimal place)