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Data Interpretation

Grade 6 · Statistics · Worksheet 2

  1. (-18) ÷ (-3) + 7² - 12 = ? Answer: ______________
  2. Hana surveyed 1200 students in her city about their favorite type of music. She organized the data into a bar graph. The bar for Pop showed 360 students, the bar for Rock showed 240 students, the bar for Hip Hop showed 300 students, and the bar for Classical showed the remaining students. What is the mean number of students who chose each type of music? Answer: ______________
  3. Liam is tracking his reading progress for a school challenge. He read for 45 minutes on Monday, 60 minutes on Tuesday, 30 minutes on Wednesday, 75 minutes on Thursday, and 50 minutes on Friday. What was the mean number of minutes Liam spent reading each day? Answer: ______________
  4. The stem-and-leaf plot below shows the number of books read by 11 students in a Grade 6 class over summer break. Stem | Leaf 3 | 1 5 7 4 | 0 2 3 8 5 | 1 4 9 6 | 0 Key: 3 | 1 means 31 books What is the median number of books read? Answer: ______________
  5. Sophia surveyed 1,001 students in her town about their favorite type of ice cream flavor. She displayed the results in a bar graph. The bar for Chocolate showed 286 students, the bar for Vanilla showed 221 students, the bar for Strawberry showed 156 students, and the bar for Mint Chip showed 91 students. The remaining students chose Cookie Dough. What is the mode of the data set representing the number of students who chose each flavor? Answer: ______________
  6. Noah is planning a school carnival and needs to order prizes. He has a budget of $1,200. He plans to spend 35% of the budget on small toys, 25% on books, and 20% on craft supplies. The remaining money will be used for sports equipment. How much money, in dollars, is allocated for sports equipment? Answer: ______________
  7. The bar graph below shows the number of books read by five students in a month. Emma read 25 books, Liam read 30 books, Olivia read 20 books, Noah read 35 books, and Ava read 40 books. What is the mean number of books read by these five students? Answer: ______________
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Answer Key & Explanations

Data Interpretation · Grade 6 · Worksheet 2

  1. (-18) ÷ (-3) + 7² - 12 = ? Answer: 43 Solution: Calculate the division first: (-18) ÷ (-3) = 6 (dividing two negatives gives a positive) Calculate the exponent: 7² = 49 Rewrite the expression: 6 + 49 - 12 Add from left to right: 6 + 49 = 55 Subtract: 55 - 12 = 43 The final answer is 43.
    Full step-by-step solution

    Step 1: Calculate the division first: (-18) ÷ (-3) = 6 (dividing two negatives gives a positive) Step 2: Calculate the exponent: 7² = 49 Step 3: Rewrite the expression: 6 + 49 - 12 Step 4: Add from left to right: 6 + 49 = 55 Step 5: Subtract: 55 - 12 = 43 Step 6: The final answer is 43.

  2. Hana surveyed 1200 students in her city about their favorite type of music. She organized the data into a bar graph. The bar for Pop showed 360 students, the bar for Rock showed 240 students, the bar for Hip Hop showed 300 students, and the bar for Classical showed the remaining students. What is the mean number of students who chose each type of music? Answer: 300 Solution: Find the number of students who chose Classical. Total students surveyed = 1200 Students who chose Pop = 360 Students who chose Rock = 240 Students who chose Hip Hop = 300 Students who chose Classical = 1200 - (360 + 240 + 300) = 1200 - 900 = 300 Add all the numbers together.
    Full step-by-step solution

    Step 1: Find the number of students who chose Classical. Total students surveyed = 1200 Students who chose Pop = 360 Students who chose Rock = 240 Students who chose Hip Hop = 300 Students who chose Classical = 1200 - (360 + 240 + 300) = 1200 - 900 = 300 Step 2: Add all the numbers together. 360 + 240 + 300 + 300 = 1200 Step 3: Divide the total by the number of categories (4). 1200 / 4 = 300 The mean number of students who chose each type of music is 300.

  3. Liam is tracking his reading progress for a school challenge. He read for 45 minutes on Monday, 60 minutes on Tuesday, 30 minutes on Wednesday, 75 minutes on Thursday, and 50 minutes on Friday. What was the mean number of minutes Liam spent reading each day? Answer: 52 Solution: To find the mean number of minutes Liam spent reading each day, we need to calculate the average. The mean is found by adding up all the daily reading times and then dividing by the number of days. Monday: 45 Tuesday: 60 Wednesday: 30 Thursday: 75 Friday: 50 Sum = 45 + 60 + 30 + 75 + 50 First,…
    Full step-by-step solution

    To find the mean number of minutes Liam spent reading each day, we need to calculate the average. The mean is found by adding up all the daily reading times and then dividing by the number of days. Step 1: Add up all the minutes he read. Monday: 45 Tuesday: 60 Wednesday: 30 Thursday: 75 Friday: 50 Sum = 45 + 60 + 30 + 75 + 50 First, 45 + 60 = 105 105 + 30 = 135 135 + 75 = 210 210 + 50 = 260 So, total minutes = 260. Step 2: Count the number of days. He read for 5 days (Monday through Friday). Step 3: Divide the total minutes by the number of days to get the mean. Mean = 260 / 5 260 ÷ 5 = 52. Thus, the mean number of minutes Liam spent reading each day is 52.

  4. The stem-and-leaf plot below shows the number of books read by 11 students in a Grade 6 class over summer break. Stem | Leaf 3 | 1 5 7 4 | 0 2 3 8 5 | 1 4 9 6 | 0 Key: 3 | 1 means 31 books What is the median number of books read? Answer: 43 Solution: 31, 35, 37, 40, 42, 43, 48, 51, 54, 59, 60 There are 11 data values (odd number). The median is the middle value, which is the 6th value when ordered.
    Full step-by-step solution

    Step 1: List all data values from the stem-and-leaf plot: 31, 35, 37, 40, 42, 43, 48, 51, 54, 59, 60 Step 2: There are 11 data values (odd number). The median is the middle value, which is the 6th value when ordered. Step 3: Count to the 6th value: 31 (1st), 35 (2nd), 37 (3rd), 40 (4th), 42 (5th), 43 (6th). Step 4: The median is 43. The answer is 43.

  5. Sophia surveyed 1,001 students in her town about their favorite type of ice cream flavor. She displayed the results in a bar graph. The bar for Chocolate showed 286 students, the bar for Vanilla showed 221 students, the bar for Strawberry showed 156 students, and the bar for Mint Chip showed 91 students. The remaining students chose Cookie Dough. What is the mode of the data set representing the number of students who chose each flavor? Answer: No mode (or there is no mode) Solution: List the number of students for each flavor. Chocolate: 286 Vanilla: 221 Strawberry: 156 Mint Chip: 91 Cookie Dough: We need to find this. Find the number of students who chose Cookie Dough.
    Full step-by-step solution

    Step 1: List the number of students for each flavor. Chocolate: 286 Vanilla: 221 Strawberry: 156 Mint Chip: 91 Cookie Dough: We need to find this. Step 2: Find the number of students who chose Cookie Dough. Total students = 1,001 Sum of the four known flavors = 286 + 221 + 156 + 91 = 754 Cookie Dough = 1,001 - 754 = 247 Step 3: Now list all five numbers: 286, 221, 156, 91, 247. Check if any number appears more than once. All five numbers are different. Step 4: Since no value repeats, there is no mode. The answer is No mode (or there is no mode).

  6. Noah is planning a school carnival and needs to order prizes. He has a budget of $1,200. He plans to spend 35% of the budget on small toys, 25% on books, and 20% on craft supplies. The remaining money will be used for sports equipment. How much money, in dollars, is allocated for sports equipment? Answer: 240 Solution: Calculate the total percentage spent on toys, books, and crafts: 35% + 25% + 20% = 80% Calculate the percentage remaining for sports equipment: 100% - 80% = 20% Calculate 20% of $1,200: 0.20 × 1200 = 240 The amount allocated for sports equipment is $240.
    Full step-by-step solution

    Step 1: Calculate the total percentage spent on toys, books, and crafts: 35% + 25% + 20% = 80% Step 2: Calculate the percentage remaining for sports equipment: 100% - 80% = 20% Step 3: Calculate 20% of $1,200: 0.20 × 1200 = 240 Step 4: The amount allocated for sports equipment is $240.

  7. The bar graph below shows the number of books read by five students in a month. Emma read 25 books, Liam read 30 books, Olivia read 20 books, Noah read 35 books, and Ava read 40 books. What is the mean number of books read by these five students? Answer: 30 Solution: Add the number of books read by all students: 25 + 30 + 20 + 35 + 40 = 150. Count the number of students: 5. Divide the total by the number of students: 150 ÷ 5 = 30.
    Full step-by-step solution

    Step 1: Add the number of books read by all students: 25 + 30 + 20 + 35 + 40 = 150. Step 2: Count the number of students: 5. Step 3: Divide the total by the number of students: 150 ÷ 5 = 30. The mean number of books read is 30.