Canada Grade 8 Math Analyzing and displaying data

Which type of graph is best suited for showing the distribution of a single variable over a range of values?

• Bar graph

• Line graph

• Histogram

• Pie chart

Answer explanation

A histogram is best for showing the distribution of a single variable over a range of values, as it displays the frequency of data points within specified intervals, making it ideal for visualizing continuous data.

If you want to compare the sales of different products in a store, which type of graph would be most appropriate?

• Line graph

• Pie chart

• Bar graph

• Histogram

Answer explanation

A bar graph is ideal for comparing sales of different products as it visually represents discrete categories, making it easy to compare their values. Line graphs are better for trends over time, while pie charts show parts of a whole.

A pie chart is most useful for displaying:

• Changes over time

• Parts of a whole

• Frequency distribution

• Correlation between variables

Answer explanation

A pie chart is most useful for displaying parts of a whole, as it visually represents the proportion of each category relative to the total. This makes it ideal for showing how different segments contribute to the overall dataset.

Which graph would you use to show the trend of temperature changes over a week?

• Bar graph

• Line graph

• Histogram

• Pie chart

Answer explanation

A line graph is ideal for showing trends over time, such as temperature changes over a week. It effectively displays data points connected by lines, making it easy to visualize fluctuations in temperature.

In a histogram, what does the height of each bar represent?

• The total number of data points

• The frequency of data within each interval

• The average value of the data

• The cumulative frequency

Answer explanation

In a histogram, the height of each bar represents the frequency of data within each interval, indicating how many data points fall into that specific range.

Which of the following is not a characteristic of a bar graph?

• Bars can be horizontal or vertical

• Bars are of equal width

• Bars are connected to each other

• Bars represent different categories

Answer explanation

In a bar graph, bars are not connected; they are separate to represent different categories. The other options correctly describe characteristics of bar graphs.

What is the sum of all the angles in a pie chart?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Answer explanation

The sum of all angles in a pie chart is always 360 degrees, representing a full circle. Therefore, the correct answer is 360 degrees.

If a line graph shows a steep upward slope, what does this indicate about the data?

• The data is decreasing rapidly

• The data is constant

• The data is increasing rapidly

• The data is fluctuating

Answer explanation

A steep upward slope in a line graph indicates that the values are rising quickly over time. Therefore, the correct interpretation is that the data is increasing rapidly.

Which type of graph would be most appropriate to show the percentage of students who prefer different types of music?

• Line graph

• Bar graph

• Histogram

• Pie chart

Answer explanation

A pie chart is ideal for showing percentages as it visually represents parts of a whole. In this case, it effectively displays the percentage of students preferring different music types, making it the most appropriate choice.

In a bar graph, what does the length of each bar represent?

• The category name

• The frequency or value of the category

• The total number of categories

• The average of all categories

Answer explanation

In a bar graph, the length of each bar represents the frequency or value of the category it corresponds to. This allows for easy comparison between different categories based on their values.