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 bar - graph for 6 - 8 years

For the age group 6 - 8, the height of the bar (number of students) is 8.

Step2: Determine the shape of the graph

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

Step3: Find the peak of the graph

The peak is the age group with the highest number of students. The bar for 9 - 11 is the tallest.

Step4: Calculate the total number of students

Add the number of students in each age group: \(1 + 4+8 + 9=22\).

Step5: Calculate the percentage of 0 - 5 years old students

Number of 0 - 5 years old students: \(1 + 4 = 5\). Total students = 22. Percentage=\(\frac{5}{22}\times100\approx22.7\%\)

Answer:

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