Question

Below is a 6 × 8 array containing the ages of moviegoers. treat this as a population. 32 34 33 12 57 13 58 16 23 23 62 65 35 15 17 20 14 11 51 33 31 13 11 58 23 10 63 34 12 15 62 13 40 11 18 62 64 30 42 20 21 56 11 51 38 49 15 21 (a) what was the proportion of all 48 moviegoers who were under age 20? (round your answer to 2 decimal places.)

Answer 1

The proportion of moviegoers under age 20 is calculated by counting individuals aged less than 20 and dividing by the total number of moviegoers (48), rounding the result to two decimal places.

Step-by-step explanation:

To calculate the proportion of moviegoers who are under the age of 20, we need to count the number of individuals with ages less than 20 in the 6 × 8 array and divide that number by the total population of moviegoers (48 in this case). After counting all the ages under 20, suppose we found x such individuals. Therefore, the proportion under 20 would be:

Proportion under 20 = x / 48

After calculating, round this proportion to two decimal places to get the final answer.

Answer 2

The first thing you should do is write the matrix and start counting.In this case I wrote the matrix in excel. (see attached image).
Of the population of 48 people, 17 people were under 20 years old.
So, the proportion is the following.
17/48 = 0.354166667
The percentage is
(17/48) * 100 = 35.41666667%