Question

a group of 14 and 15 - year - olds were polled on their favorite season. the results are shown in the frequency table.

	14 yr	15 yr	total
spring	5	3	8
fall	7	7	14
winter	12	3	15
total	47	35

how many categories are shown in the rows?
how many categories are shown in the columns?
how many 14 - year - olds consider winter their favorite season?
how many people total were polled?

Explanation:

Step1: Count row - categories

Count the number of non - total rows for seasons. There are 4 seasons (Summer, Spring, Fall, Winter), so there are 4 row - categories.

Step2: Count column - categories

Count the number of non - total columns for ages. There are 2 age groups (14 yr and 15 yr), so there are 2 column - categories.

Step3: Find number of 14 - year - olds who like winter

Look at the intersection of the "14 yr" column and "Winter" row. The value is 12.

Step4: Find total number of people polled

Look at the "Total" cell in the bottom - right corner of the table. Add the row - totals or column - totals. \(45 + 8+14 + 15=82\) or \(47+35 = 82\).

Answer:

How many categories are shown in the rows? 4
How many categories are shown in the columns? 2
How many 14 - year - olds consider winter their favorite season? 12
How many people total were polled? 82