2. mrs. green gives swimming lessons. the histogram represents the number of students in each age group.\n1…

2. mrs. green gives swimming lessons. the histogram represents the number of students in each age group.\n1. how many of her students are 6 - 8 years old?\n2. what is the overall shape of the graph?\na) approximately symmetric b) skewed right c) skewed left\n3. where does the graph peak?\n4. how many students does mrs. green teach?\n5. what percent of her students is 0 - 5 years old?
Answer
Explanation:
Step1: Read the histogram for 6 - 8 years old
The vertical axis for the bar corresponding to 6 - 8 years old is 8.
Step2: Determine the shape of the histogram
A skewed - right histogram has a longer tail on the right. Here, the tail (fewer students) is on the left (0 - 2 and 3 - 5 age groups compared to 6 - 8 and 9 - 11). So it is skewed right.
Step3: Find the peak of the histogram
The peak is the bar with the highest number of students. The bar for 9 - 11 years old has 10 students (highest).
Step4: Calculate the total number of students
Add the number of students in each age group: (1+4 + 8+10=23)
Step5: Calculate the percentage of 0 - 5 years old students
Number of 0 - 5 years old students: (1 + 4=5). Total students: 23. Percentage: (\frac{5}{23}\times100\approx21.74%)
Answer:
- (8)
- b) skewed right
- (9 - 11)
- (23)
- Approximately (21.74%)