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Statistics Grade 4-5 Answer Key

Statistics: Finding the Mean Median and Mode

Practice describing data sets with averages and common values

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Statistics: Finding the Mean Median and Mode

Practice describing data sets with averages and common values

Statistics - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided. For mean, add the numbers and divide by how many numbers there are. For median, put the numbers in order and find the middle. For mode, find the number that appears most often.
  1. 1

    Find the mean of these quiz scores: 8, 10, 7, 9, 6.

    Add all the scores first, then divide by 5.

    The mean is 8 because 8 + 10 + 7 + 9 + 6 = 40, and 40 divided by 5 is 8.
  2. 2

    Find the median of these numbers: 12, 7, 9, 15, 10.

    Put the numbers in order from least to greatest before finding the middle.

    The median is 10 because the numbers in order are 7, 9, 10, 12, 15, and 10 is the middle number.
  3. 3

    Find the mode of these pet ages: 3, 5, 2, 3, 4, 3, 5.

    The mode is 3 because 3 appears three times, more often than any other number.
  4. 4

    The bar graph shows the number of books read by four students: Ana read 4, Ben read 6, Cara read 5, and Darius read 5. Find the mean number of books read.

    Use the bar heights as the numbers in your data set.

    The mean is 5 books because 4 + 6 + 5 + 5 = 20, and 20 divided by 4 is 5.
  5. 5

    Find the mean, median, and mode of this data set: 4, 6, 6, 8, 11.

    The mean is 7 because the sum is 35 and 35 divided by 5 is 7. The median is 6 because it is the middle number. The mode is 6 because it appears most often.
  6. 6

    A class counted how many pencils were in five desks: 2, 4, 4, 5, 10. Which measure, mean or median, better describes a typical desk? Explain your choice.

    Look for a number that is much different from the others.

    The median better describes a typical desk because 10 is much larger than the other numbers and raises the mean. The median is 4, which is closer to most of the desk counts.
  7. 7

    Find the median of these temperatures: 68, 72, 70, 71, 69, 73.

    When there are two middle numbers, find the number halfway between them.

    The median is 70.5 because the numbers in order are 68, 69, 70, 71, 72, 73, and the two middle numbers are 70 and 71. The number halfway between them is 70.5.
  8. 8

    The line plot shows points at 1, 2, 2, 3, 4, 4, and 4. Find the mode of the data.

    The mode is 4 because 4 has the most points and appears three times.
  9. 9

    Mia's scores on four spelling tests were 9, 10, 8, and 9. What score would she need on a fifth test to have a mean of 9?

    First find the total needed for five scores with a mean of 9.

    Mia would need a score of 9 because a mean of 9 for five tests means a total of 45 points, and 9 + 10 + 8 + 9 = 36. She needs 45 - 36 = 9 more points.
  10. 10

    Find the mode of this data set: 6, 7, 8, 9, 10.

    There is no mode because every number appears exactly one time.
  11. 11

    The table shows the number of goals scored by a team in six games: Game 1: 2, Game 2: 1, Game 3: 3, Game 4: 2, Game 5: 4, Game 6: 0. Find the mean number of goals.

    Add all six game scores, then divide by 6.

    The mean is 2 goals because 2 + 1 + 3 + 2 + 4 + 0 = 12, and 12 divided by 6 is 2.
  12. 12

    Find the mean, median, and mode of these numbers of stickers: 5, 7, 5, 9, 8, 5, 10.

    The mean is 7 because the sum is 49 and 49 divided by 7 is 7. The median is 7 because the ordered list is 5, 5, 5, 7, 8, 9, 10. The mode is 5 because it appears most often.
  13. 13

    The dot plot shows the number of siblings for 8 students: 0, 1, 1, 2, 2, 2, 3, 4. Find the median number of siblings.

    There are 8 data values, so use the 4th and 5th numbers after the values are in order.

    The median is 2 because the two middle numbers are 2 and 2, and the number halfway between them is 2.
  14. 14

    A data set has these numbers: 14, 12, 16, 12, 11. Jaden says the median is 16 because it is in the middle of the list as written. Is Jaden correct? Explain.

    The median is based on the ordered list, not the order in which the numbers are first written.

    Jaden is not correct because the numbers must be put in order first. In order they are 11, 12, 12, 14, 16, so the median is 12.
  15. 15

    The picture graph shows favorite fruits in a small group: apples have 3 votes, bananas have 5 votes, grapes have 2 votes, and oranges have 5 votes. Which fruits are the modes?

    The modes are bananas and oranges because they each have 5 votes, which is the greatest number of votes.
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