Data Display

Grade 6 · statistics · 100 practice problems · read aloud

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📊 Data Display

What is Data Display?

Data Display is a way to organize and show information (data) so it's easy to understand. Instead of looking at a long list of numbers, we can use charts and graphs to see patterns and answer questions quickly! It's useful for everything from science projects to understanding sports statistics.

How to Display Data: A Step-by-Step Guide

  1. Collect your data: Gather the information you want to show.
  2. Choose the right display: Pick a graph or chart that fits your data.
  3. Create your display: Draw the graph with clear labels.
  4. Interpret the data: Look at your display to find the answer to your question.

Visual Examples

Example 1: Favorite Ice Cream Flavors

Data: Vanilla: 8 students, Chocolate: 12 students, Strawberry: 5 students.

Step 1: We choose a bar graph to compare categories.
Step 2: Label the bottom with flavors and the side with "Number of Students."
Step 3: Draw bars to the correct height for each flavor.
Step 4: We can now see that Chocolate is the most popular flavor!

Example 2: Number of Pets

Data: 0 pets: 4 students, 1 pet: 10 students, 2 pets: 7 students, 3+ pets: 3 students.

Step 1: We choose a pictograph, where each picture = 2 students.
Step 2: For "1 pet," we would draw 5 pet pictures (because 5 pictures x 2 students each = 10 students).
Step 3: We can quickly see that most students have 1 or 2 pets.

Common Mistakes to Avoid 🚫

  • Missing Labels: Forgetting to label the axes on a graph or the title. Without labels, no one knows what the data is about!
  • Uneven Scales: Making the spaces between numbers on your scale different sizes. This makes the graph misleading.
  • Misreading the Key: In a pictograph, not paying attention to what each symbol represents (e.g., 1 picture = 2 people, not 1).

Tips & Tricks

  • Choose Wisely: Use a bar graph to compare different groups. Use a line plot to show how often something occurs.
  • TAILS: Remember this acronym for a good graph: Title, Axes, Intervals, Labels, Scale.
  • Always double-check that your totals match your original data.

How to Practice

Become a data detective! 📈

  • Take a survey of your friends' favorite hobbies and make a bar graph.
  • Record the weather for a week and display it on a line plot.
  • Look for graphs in news articles or sports reports and try to explain what they show.

Practice problems

6 of the 100, worked through step by step — try them before opening the answer.

1 (3/4 + 1/2) × 120 = ?

Hint: First find a common denominator to add the fractions, then multiply the result by the whole number.

Show the answer

Answer: 150

  1. First, we need to calculate 3/4 + 1/2. To add these fractions, they must have the same denominator. The least common denominator of 4 and 2 is 4.
  2. Convert 1/2 to a fraction with denominator 4: 1/2 = (1 × 2)/(2 × 2) = 2/4.
  3. Now add: 3/4 + 2/4 = (3 + 2)/4 = 5/4.
  4. The problem says: (3/4 + 1/2) × 120 = (5/4) × 120.
  5. Multiply 5/4 by 120: (5 × 120) / 4 = 600 / 4.
  6. Divide 600 by 4: 600 ÷ 4 = 150. Final answer: 150

Let's solve step-by-step.

2 (3/4 + 1/2) ÷ 2/3 = ?

Hint: First, find a common denominator to add the fractions inside the parentheses. Then, remember that dividing by a fraction is the same as multiplying by its reciprocal.

Show the answer

Answer: 15/8

  1. Simplify inside the parentheses first. We have 3/4 + 1/2. To add, find a common denominator. The common denominator of 4 and 2 is 4. 1/2 = 2/4. So 3/4 + 2/4 = 5/4.
  2. Now the expression is (5/4) ÷ (2/3). Dividing by a fraction is the same as multiplying by its reciprocal. So (5/4) ÷ (2/3) = (5/4) × (3/2).
  3. Multiply the fractions: Multiply numerators: 5 × 3 = 15. Multiply denominators: 4 × 2 = 8. So the result is 15/8.
  4. Check if it can be simplified. 15 and 8 have no common factors other than 1, so 15/8 is the final answer. Answer: 15/8

Let's solve step by step.

3 (3/4 + 1/2) × 240 = ?

Hint: First find a common denominator to add the fractions, then multiply the result by the whole number.

Show the answer

Answer: 300

  1. Add the fractions inside the parentheses: 3/4 + 1/2
  2. Convert 1/2 to 2/4 to get common denominator: 3/4 + 2/4 = 5/4
  3. Multiply the result by 240: 5/4 × 240
  4. Simplify the multiplication: 5 × (240 ÷ 4) = 5 × 60 = 300

The answer is 300.

4 (2/3 + 1/6) × 120 = ?

Hint: First find a common denominator to add the fractions, then multiply the result by the whole number.

Show the answer

Answer: 100

  1. Add the fractions inside the parentheses: 2/3 + 1/6
  2. Find a common denominator: 2/3 = 4/6
  3. Add the fractions: 4/6 + 1/6 = 5/6
  4. Multiply the result by 120: 5/6 × 120
  5. Simplify: 5 × (120 ÷ 6) = 5 × 20 = 100

The answer is 100.

5 (3/4 + 1/2) ÷ 0.25 = ?

Hint: Convert all terms to a common form before performing operations, and remember the order of operations when dealing with mixed fractions and decimals.

Show the answer

Answer: 5

  1. Simplify the expression inside the parentheses: 3/4 + 1/2 First, find a common denominator for 3/4 and 1/2. The common denominator is 4. 1/2 = 2/4 So, 3/4 + 2/4 = 5/4.
  2. The problem is now (5/4) ÷ 0.25. Write 0.25 as a fraction: 0.25 = 25/100 = 1/4.
  3. Dividing by a fraction is the same as multiplying by its reciprocal. So, (5/4) ÷ (1/4) = (5/4) × (4/1).
  4. Multiply the fractions: (5 × 4) / (4 × 1) = 20/4.
  5. Simplify 20/4 = 5. Final answer: 5

Let's solve step-by-step.

6 (3/4 + 1/6) × 2400 = ?

Hint: First find a common denominator to add the fractions, then multiply the result by the large number

Show the answer

Answer: 2200

  1. Add 3/4 + 1/6 by finding a common denominator of 12
  2. Convert 3/4 to 9/12 and 1/6 to 2/12
  3. Add the fractions: 9/12 + 2/12 = 11/12
  4. Multiply the result by 2400: 11/12 × 2400
  5. Simplify: 11 × (2400 ÷ 12) = 11 × 200
  6. Calculate: 11 × 200 = 2200

The answer is 2200.

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