CH08-07 lesson

Data Displays Extended Learning Activity

A focused Grade 7 learning session for Data Displays Extended using visual models, worked examples, strategy guidance, and a short mastery check.

Start the lesson Print practice sample
15
minutes
6
lesson parts
11
practice items
Learning goal

Students will build Grade 7 mastery of data displays extended using models, equations, and test-style reasoning.

Student goal: I can solve problems involving data displays extended.

Helpful first: Circle Graphs
concept

Learn the Idea

Data Displays Extended is part of Grade 7 Statistics. This activity focuses on the central idea students need before they move into independent practice.

Students will build Grade 7 mastery of data displays extended using models, equations, and test-style reasoning.

visual model

See the Math

What to noticeHow to use it
Numbers, units, labels, diagrams, or graphsIdentify what each part represents before calculating.
The relationship in the problemConnect the model to an equation, comparison, or explanation.

Use the figures and worked questions in the practice set below as the visual model for this skill.

worked example

Follow a Worked Example

Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.

For Data Displays Extended, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.

real world

Connect It to a Real Situation

Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.

After solving, explain what the answer means in the situation, not just the number you calculated.

strategy

Avoid Mistakes and Choose a Strategy

  • Underline the exact question before solving.
  • Label units, variables, or graph axes when they appear.
  • Estimate first so unreasonable answers are easier to catch.
  • Review missed questions and write the reason for each mistake.
summary

Remember the Key Idea

I can solve problems involving data displays extended.

Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G7-C08-T07-Q001 About 1 min

A histogram shows the same data displayed in two different ways: Version A uses intervals of width 5 (0--5, 5--10, 10--15, etc.), while Version B uses intervals of width 10 (0--10, 10--20, 20--30, etc.). How would the two histograms appear different?

  1. A Version A would show more detail and variation; Version B would show a smoother pattern
  2. B Both histograms would look identical regardless of interval width
  3. C Version B would be more accurate because larger intervals are always better
  4. D Version A would have fewer bars but higher frequencies
Check answer and explanation

Answer A: Version A would show more detail and variation; Version B would show a smoother pattern

Smaller intervals reveal more variability and detail in the distribution; larger intervals group data together, creating a smoother appearance. Both are valid depending on the purpose.

G7-C08-T07-Q002 About 1 min

A line plot shows the number of goals scored by 15 soccer players this season:
Which statement best describes the data?

Data Displays Extended visual for G7-C08-T07-Q002
  1. A The data shows a uniform distribution with all scores equally common
  2. B Most players scored between 3 and 5 goals, with one outlier at 9
  3. C All players scored at least 2 goals, with the median at 4
  4. D The mode is 4 goals, appearing 4 times
Check answer and explanation

Answer D: The mode is 4 goals, appearing 4 times

Counting occurrences: 2 (twice), 3 (three times), 4 (four times), 5 (twice), 6 (twice), 7 (once), 9 (once). The value 4 appears most frequently, making it the mode.

guided

1 question
G7-C08-T07-Q003 About 1 min

A histogram shows the frequency of ages in a fitness class: 10--20 (6), 20--30 (18), 30--40 (24), 40--50 (12). A promotional flyer claims "Our class serves ALL age groups equally." Is this supported by the histogram?

  1. A Yes, because four different age intervals are shown
  2. B No, because frequencies vary significantly (6 to 24)
  3. C Yes, because the highest bar represents the most popular age group
  4. D No, because the bar widths are all equal
Check answer and explanation

Answer B: No, because frequencies vary significantly (6 to 24)

Equal representation would show nearly equal frequencies. The 30--40 interval (24) has 4 times as many people as the 10--20 interval (6), contradicting the "equal" claim.

practice

5 questions
G7-C08-T07-Q004 About 1 min

A dot plot shows the number of text messages sent by 12 students in one day: 5, 8, 10, 10, 12, 12, 12, 15, 18, 20, 22, 25. Which measure BEST represents the "typical" number of messages sent?

  1. A The mean (approximately 14.3)
  2. B The median (12.5)
  3. C The mode (12)
  4. D The range (20)
Check answer and explanation

Answer C: The mode (12)

The mode (12 messages, appearing 3 times) best represents what students "typically" sent because it identifies the most common value. The mean is inflated by 25 outliers, and the median (12.5) is between two values.

G7-C08-T07-Q005 About 1 min

Two classes have test-score distributions displayed as histograms with identical means (both 75). Class A has most scores clustered near 75 (narrow, bell-shaped); Class B has scores spread across the range (flat). What does this comparison reveal?

  1. A Class A has higher variability than Class B
  2. B Class B has lower variability than Class A
  3. C Class A's shape shows less variability despite the same mean
  4. D The mean tells you everything about variability
Check answer and explanation

Answer C: Class A's shape shows less variability despite the same mean

Two distributions can share a mean but differ in spread (variability). Shape reveals this: a narrow cluster indicates low variability; a flat spread indicates high variability.

G7-C08-T07-Q006 About 1 min

The test scores of 24 students are: 72, 78, 81, 75, 89, 92, 74, 80, 85, 88, 76, 91, 84, 79, 86, 83, 77, 90, 73, 87, 82, 94, 68, 95. Which display would BEST show the spread and identify outliers?

  1. A Circle graph
  2. B Box plot
  3. C Pictograph
  4. D Scatter plot
Check answer and explanation

Answer B: Box plot

A box plot displays the quartiles, median, and extreme values (min/max), making outliers visually apparent as points beyond the whiskers.

G7-C08-T07-Q007 About 1 min

A histogram shows the ages of people visiting a museum. The x-axis shows age intervals (10--20, 20--30, 30--40, etc.), and the heights of the bars show the number of people. What does the height of each bar represent?

  1. A The width of each age interval
  2. B The frequency (count) in each age interval
  3. C The average age in each interval
  4. D The age of the oldest person
Check answer and explanation

Answer B: The frequency (count) in each age interval

In a histogram, the height of each bar represents the frequency (count or number of data points) in that interval.

G7-C08-T07-Q008 About 1 min

A dot plot shows the number of hours 10 students studied for a math test. The data is: 1, 1, 1, 2, 2, 2, 2, 3, 4, 5. What is the median?

  1. A 1 hour
  2. B 2 hours
  3. C 3 hours
  4. D 5 hours
Check answer and explanation

Answer B: 2 hours

With 10 data points, the median is the average of the 5th and 6th values. Ordered: 1, 1, 1, 2, 2, 2, 2, 3, 4, 5. The 5th and 6th values are both 2, so median = 2 hours.

exit

3 questions
G7-C08-T07-Q009 About 1 min

A researcher collects data on the relationship between hours of sleep and performance on a math test for 20 students. Some data points show students who slept 7 hours and scored 60, while others slept 7 hours and scored 95. What does this variation BEST indicate?

  1. A Sleep has no effect on test performance
  2. B Sleep alone does not determine test scores; other factors matter
  3. C The data is incorrect because the same sleep results in different scores
  4. D Students who sleep 7 hours have inconsistent abilities
Check answer and explanation

Answer B: Sleep alone does not determine test scores; other factors matter

A scatter plot reveals association, not causation. Variation in scores at the same sleep duration indicates that other variables (studying, prior knowledge, test anxiety) also influence performance.

G7-C08-T07-Q010 About 1 min

A pictograph uses one star symbol = 50 votes. Candidate A has 7.5 stars, Candidate B has 6 stars. Which statement correctly interprets this pictograph?

  1. A Candidate A received 7.5 votes and Candidate B received 6 votes
  2. B Candidate A received 375 votes and Candidate B received 300 votes
  3. C The difference is 75 votes
  4. D Candidate B has fewer than half the votes of Candidate A
Check answer and explanation

Answer B: Candidate A received 375 votes and Candidate B received 300 votes

Pictograph: 7.5 stars × 50 votes/star = 375 votes for A; 6 stars × 50 votes/star = 300 votes for B. Symbol counts must be multiplied by the legend value.

G7-C08-T07-Q011 About 1 min

A histogram shows the weights (in pounds) of 50 dogs. The intervals are 10--20 lbs, 20--30 lbs, 30--40 lbs, and 40--50 lbs, with frequencies 8, 15, 20, and 7. Which interval contains the mode?

  1. A 10--20 lbs
  2. B 20--30 lbs
  3. C 30--40 lbs
  4. D 40--50 lbs
Check answer and explanation

Answer C: 30--40 lbs

The mode is in the interval with the highest frequency. The 30--40 lbs interval has a frequency of 20, which is the highest among all intervals.

Keep the learning path connected
Previous skillCircle Graphs Recommended nextWhat Is Probability? Same strandPopulations and Samples Same strandMaking Inferences from Random Samples
Page UP