Lesson 14: Practice Problems

Problem 1

Here is a dot plot that shows the ages of teachers at a school.

Which of these statements is true of the data set shown in the dot plot?

A dot plot labeled “ages in years.” The numbers 32 through 64, in increments of 4, are indicated. There are also tick marks indicated midway between. The data is as follows. 30 years, 1 dot 31 years, 1 dot 32 years, 2 dots 33 years, 2 dots 34 years, 2 dots 35 years, 2 dots 36 years, 4 dots 37 years, 2 dots 38 years, 1 dot 39 years, 2 dots 40 years, 2 dots 41 years, 0 dots 42 years, 0 dots 43 years, 0 dots 44 years, 0 dots 45 years, 0 dots 46 years, 1 dot 47 years, 1 dot 48 years, 0 dots 49 years, 0 dots 50 years, 2 dots 51 years, 0 dots 52 years, 0 dots 53 years, 0 dots 54 years, 0 dots 55 years, 1 dot 56 years, 0 dots 57 years, 0 dots 58 years, 0 dots 59 years, 0 dots 60 years, 0 dots 61 years, 0 dots 62 years, 1 dot 63 years, 0 dots 64 years, 1 dot

  1. The mean is less than the median.

  2. The mean is approximately equal to the median.

  3. The mean is greater than the median.

  4. The mean cannot be determined.

Problem 2

Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18.

How would changing the 8 to 18 affect the mean and median of the data set?

  1. The mean would decrease and the median would not change.

  2. The mean would increase and the median would not change.

  3. The mean would decrease and the median would increase.

  4. The mean would increase and the median would increase.

Problem 3

In his history class, Han’s homework scores are:

  • 100

  • 100

  • 100

  • 100

  • 95

  • 100

  • 90

  • 100

  • 0

The history teacher uses the mean to calculate the grade for homework. Write an argument for Han to explain why median would be a better measure to use for his homework grades.

Problem 4

The dot plots show how much time, in minutes, students in a class took to complete each of five different tasks. Select all the dot plots of tasks for which the mean time is approximately equal to the median time.

  1. dot plot
  2. dot plot
  3. dot plot
  4. dot plot
  5. dot plot

Problem 5 From Unit 8 Lesson 2

Zookeepers recorded the ages, weights, genders, and heights of the 10 pandas at their zoo. Write two statistical questions that could be answered using these data sets.

Problem 6 From Unit 7 Lesson 12

Here is a set of coordinates. Draw and label an appropriate pair of axes and plot the points. , , ,

blank grid