Let's address each part of the question systematically.
1. How many categories are shown in the rows?
The categories listed in the rows are seasons of the year: Summer, Spring, Fall, and Winter, with an additional row for the totals. This gives us:
- Summer
- Spring
- Fall
- Winter
- Total
From this list, we can see there are 5 rows in total, but the 'Total' row is not considered as a category. Therefore, the number of categories in the rows is:
[tex]\[
4
\][/tex]
2. How many categories are shown in the columns?
The columns categorize the ages and the totals: '14 yr', '15 yr', and 'Total'. This gives us:
- 14 yr
- 15 yr
- Total
From this, we have 3 columns in total, but the 'Total' column is not considered as a specific category. Therefore, the number of categories in the columns is:
[tex]\[
2
\][/tex]
3. How many 14-year-olds consider winter their favorite season?
According to the frequency table, the number of 14-year-olds who consider winter their favorite season is listed under 'Winter' and '14 yr'. The value is:
[tex]\[
12
\][/tex]
4. How many people total were polled?
To find the total number of people polled, we sum up the 'Total' values from each season:
- Summer: 45
- Spring: 8
- Fall: 14
- Winter: 15
Adding these values together gives us the total number of people polled:
[tex]\[
45 + 8 + 14 + 15 = 82
\][/tex]
Therefore, the answers are:
- Number of categories in the rows: [tex]\(4\)[/tex]
- Number of categories in the columns: [tex]\(2\)[/tex]
- Number of 14-year-olds who consider winter their favorite season: [tex]\(12\)[/tex]
- Total number of people polled: [tex]\(82\)[/tex]
