Question

1. mrs. green gives swimming lessons. the histogram represents the number of students in each age group.
2. how many of her students are 6 - 8 years old?
3. what is the overall shape of the graph?

a) approximately symmetric b) skewed right c) skewed left

1. where does the graph peak?
2. how many students does mrs. green teach?
3. what percent of her students is 0 - 5 years old?

Explanation:

Step1: Read the histogram

For question 1, look at the bar for the 6 - 8 age group. The height of the bar (number of students) is 8.

Step2: Analyze the shape

For question 2, a skewed - right graph has a longer tail on the right. Here, the tail (fewer students) is on the left (0 - 2 age group), so it is skewed right.

Step3: Identify the peak

For question 3, the peak is the age group with the highest number of students. The 9 - 11 age group has 9 students (highest).

Step4: Sum all students

For question 4, sum the number of students in each age group: \(1 + 4+8 + 9=22\)

Step5: Calculate the percentage

For question 5, number of students 0 - 5 years old: \(1 + 4 = 5\). Total students \(n = 22\). Percentage \(P=\frac{5}{22}\times100\approx22.7\%\)

Answer:

1. 8
2. b) skewed right
3. 9 - 11
4. 22
5. Approximately \(22.7\%\)