https://file.aiquickdraw.com/mathbot/file/17265794651383ohuqzwp.pdf

Solve the data handling questions with pictures 

The worksheet you uploaded contains a variety of questions on data handling for Grade 8. Here are a few problems related to data handling along with their solutions:

### 1. **Drawing a Histogram (Question 62)**
   - Monthly Expenses (in $) and Number of Families:
     - 101-150: 160 families
     - 151-200: 125 families
     - 201-250: 129 families
     - 251-300: 78 families
   
   **Steps to Draw a Histogram:**
   - Label the x-axis with the monthly expenses ranges (101-150, 151-200, etc.).
   - Label the y-axis with the number of families.
   - For each range, draw a bar with a height corresponding to the number of families.
     - 101-150: Bar height = 160
     - 151-200: Bar height = 125
     - 201-250: Bar height = 129
     - 251-300: Bar height = 78

### 2. **Pie Chart Central Angle Calculation (Question 60)**
   The table provides the number of votes for each subject:
   - English: 90 votes
   - Mathematics: 120 votes
   - Science: 150 votes
   
   To find the central angle for Mathematics:
   \[
   \text{Total votes} = 90 + 120 + 150 = 360
   \]
   The central angle for Mathematics is:
   \[
   \frac{120}{360} \times 360^\circ = 120^\circ
   \]

   So, the correct answer is **120° (option b)**.

### 3. **Interpreting a Histogram (Question 63)**
   - **Scale Used in the Graph:** The scale on the x-axis represents the age groups of teachers, and the y-axis represents the number of teachers.
   - **Number of Teachers Aged 35-45:** Find the bar corresponding to this age range and note the height (number of teachers).
   - **Highest Frequency Class:** The class (age range) with the tallest bar has the highest frequency.
   - **Minimum Teachers' Age Group:** The age group with the shortest bar has the fewest teachers.

### 4. **Pie Chart Interpretation (Question 64)**
   - **Center Angle for Sports Viewers:** 
     To calculate the center angle for sports viewers, you would need additional data such as the number of students watching sports.
   - **Programs with Equal Viewership to Sports:** You can compare the sectors of the pie chart to find two programs with viewership equal to sports viewers.
   - **Ratio of News to Sports Viewers:** This ratio can be computed by comparing the percentages or the number of students in the news and sports sectors.

### 5. **Frequency of TV Viewing (Question 65)**
   - How many students spend more than 3 hours and less than 5 hours watching TV?
   - Based on the given options and frequency from the histogram, the answer is **22 students (option b)**.

---

Do you have any specific questions or would you like further explanations on any of the problems? 

### Related Questions:
1. How can you determine the class interval when interpreting a histogram?
2. How do you convert data into a frequency distribution table?
3. What is the difference between a histogram and a bar chart?
4. How is the pie chart different from other types of charts in representing data?
5. How do you calculate the mean from grouped data?

### Tip:
When drawing histograms, ensure the class intervals on the x-axis are continuous with no gaps between bars.

Solve the data handling questions with pictures

This page offers solutions to Grade 8 data handling problems, including drawing histograms, calculating central angles for pie charts, and interpreting frequency distributions. Example data includes monthly expenses and student preferences, providing comprehensive practice for data analysis.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation