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).

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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.