Labeling the Mean and Median of Density Curves Based on Shape

  • 1.

    A teacher recorded the marks of her students on the science test and created the density chart shown below. Determine the shape of the graph and estimate the mean and median.

    Answers:

    • Shape:- Right-skewed

      Mean:- 70

      Median:- 70

    • Shape:- Symmetric

      Mean:- 70

      Median:- 70

    • Shape:- Right-skewed

      Mean:- 75

      Median:- 75

    • Shape:- Symmetric

      Mean:- 75

      Median:- 75

  • 2.

    Ashwin recorded the temperature (in degrees Celsius) at 8 am for several days. The graph below represents his data. What is the shape of the distribution? Find the accurate values of the mean and median.

    Answers:

    • Shape:- Right-skewed

      Mean:- 15.6

      Median:- 16

    • Shape:- Left-skewed

      Mean:- 12.6

      Median:- 16

    • Shape:- Right-skewed

      Mean:- 12.6

      Median:- 16

    • Shape:- Left-skewed

      Mean:- 15

      Median:- 15

  • 3.

    A physician recorded the number of patients in his clinic on different days. With the help of the data, he created the density curve shown below. Choose the correct answer related to the data of the density curve.

    Answers:

    • Shape:- Symmetric

      Mean:- 80

      Median:- 90

    • Shape:- Symmetric

      Mean:- 90

      Median:- 80

    • Shape:- Symmetric

      Mean:- 90

      Median:- 90

    • Shape:- Symmetric

      Mean:- 80

      Median:- 80

  • 4.

    Peter created the following density graph using the data of visitors at a zoo. Which of the following options represents the correct shape of the distribution? What are the accurate values of the mean and median?

    Answers:

    • Shape:- Right-skewed

      Mean:- 25

      Median:- 27

    • Shape:- Right-skewed

      Mean:- 27

      Median:- 25

    • Shape:- Left-skewed

      Mean:- 25

      Median:- 27

    • Shape:- Left-skewed

      Mean:- 27

      Median:- 25

  • 5.

    Anna noted the number of pizzas she ate in different weeks. With the help of the data, she created the density curve shown below. Find the correct answer related to the density curve's shape, mean, and median.

    Answers:

    • Shape:- Right-skewed

      Mean:- 2.8

      Median:- 3.5

    • Shape:- Left-skewed

      Mean:- 2.8

      Median:- 3.5

    • Shape:- Right-skewed

      Mean:- 2.8

      Median:- 3

    • Shape:- Left-skewed

      Mean:- 2.8

      Median:- 3

  • 6.

    Ashley recorded the prices of houses (in dollars) in a city and used the data to create the density curve shown below. Identify the shape of the graph and estimate the mean and median.

    Answers:

    • Shape:- Symmetric

      Mean:- $35,000

      Median:- $30,000

    • Shape:- Symmetric

      Mean:- $30,000

      Median:- $35,000

    • Shape:- Symmetric

      Mean:- $30,000

      Median:- $30,000

    • Shape:- Symmetric

      Mean:- $35,000

      Median:- $35,000

  • 7.

    Mary noted the number of sweaters her mother knitted. With the help of the data, she created the density curve shown below. What is the shape of the distribution? Estimate the accurate values of the mean and median?

    Answers:

    • Shape:- Right-skewed

      Mean:- 30

      Median:- 32

    • Shape:- Right-skewed

      Mean:- 25

      Median:- 30

    • Shape:- Right-skewed

      Mean:- 28

      Median:- 30

    • Shape:- Right-skewed

      Mean:- 30

      Median:- 35

  • 8.

    Diana donated money on different Sundays. Using data, she created the graph shown below. Select the correct answer related to the data of the density curve.

    Answers:

    • Shape:- Right-skewed

      Mean:- 43

      Median:- 40

    • Shape:- Right-skewed

      Mean:- 45

      Median:- 40

    • Shape:- Left-skewed

      Mean:- 43

      Median:- 40

    • Shape:- Left-skewed

      Mean:- 45

      Median:- 40

  • 9.

    Joseph noted the number of children in different families. The curve below illustrates his data. Which of the following choices represents the correct shape of the distribution? What are the accurate values of the mean and median?

    Answers:

    • Shape:- Right-skewed

      Mean:- 3.5

      Median:- 3

    • Shape:- Right-skewed

      Mean:- 3.1

      Median:- 3

    • Shape:- Left-skewed

      Mean:- 3.1

      Median:- 3

    • Shape:- Left-skewed

      Mean:- 3.5

      Median:- 3

  • 10.

    Mrs. Jason works in a zoo. She recorded the number of visitors in the last few days. With the help of the data, she constructed the plot shown below. Find the correct answer related to the shape, mean, and median of the density curve.

    Answers:

    • Shape:- Symmetric

      Mean:- 40

      Median:- 60

    • Shape:- Symmetric

      Mean:- 60

      Median:- 40

    • Shape:- Symmetric

      Mean:- 50

      Median:- 50

    • Shape:- Symmetric

      Mean:- 60

      Median:- 60

  • 11.

    Diana had some pebbles. She measured the weights (in pounds) and used the data to form a density curve plot illustrated below. Determine the shape of the graph and estimate the mean and median.

    Answers:

    • Shape:- Symmetric

      Mean:- 0.04 pounds

      Median:- 0.05 pounds

    • Shape:- Symmetric

      Mean:- 0.04 pounds

      Median:- 0.04 pounds

    • Shape:- Symmetric

      Mean:- 0.05 pounds

      Median:- 0.05 pounds

    • Shape:- Symmetric

      Mean:- 0.05 pounds

      Median:- 0.04 pounds

  • 12.

    David recorded the number of red cars crossing a poll at different hours. Using his data, he created the density curve shown below. What is the shape of the distribution? Find the accurate values of the mean and median.

    Answers:

    • Shape:- Right-skewed

      Mean:- 14.5

      Median:- 14

    • Shape:- Left-skewed

      Mean:- 12.5

      Median:- 14

    • Shape:- Right-skewed

      Mean:- 13.5

      Median:- 14

    • Shape:- Left-skewed

      Mean:- 13.5

      Median:- 14

  • 13.

    Gorge noted the number of burgers he ate in different weeks with the help of the density curve shown below. Choose the correct answer related to the data of the density curve.

    Answers:

    • Shape:- Right-skewed

      Mean:- 4.8

      Median:- 5

    • Shape:- Left-skewed

      Mean:- 4.8

      Median:- 5

    • Shape:- Right-skewed

      Mean:- 4.8

      Median:- 4

    • Shape:- Left-skewed

      Mean:- 4.8

      Median:- 4

  • 14.

    The density curve below displays the data of the average rainfall of an area in a month. Which of the given options represents the correct shape of the distribution? What are the accurate values of the mean and median?

    Answers:

    • Shape:- Symmetric

      Mean:- 5

      Median:- 5

    • Shape:- Symmetric

      Mean:- 5

      Median:- 5.5

    • Shape:- Symmetric

      Mean:- 5.5

      Median:- 5.5

    • Shape:- Symmetric

      Mean:- 5.5

      Median:- 5

  • 15.

    The chart below represents the prices of houses. Find the correct answer related to the density curve's shape, mean, and median.

    Answers:

    • Shape:- Left-skewed

      Mean:- 10,800

      Median:- 8,000

    • Shape:- Left-skewed

      Mean:- 8,000

      Median:- 10,800

    • Shape:- Right-skewed

      Mean:- 8,000

      Median:- 8,000

    • Shape:- Right-skewed

      Mean:- 10,800

      Median:- 8,000

  • 16.

    Sarah recorded the average temperature (in degrees Celsius) of an area for a few days. The graph represents her record. Identify the shape of the graph and estimate the mean and median.

    Answers:

    • Shape:- Symmetric

      Mean:- 20 degrees

      Median:- 25 degrees

    • Shape:- Symmetric

      Mean:- 25 degrees

      Median:- 25 degrees

    • Shape:- Symmetric

      Mean:- 25 degrees

      Median:- 20 degrees

    • Shape:- Symmetric

      Mean:- 20 degrees

      Median:- 20 degrees

  • 17.

    Mary kept a track of her daily consumption of tea for two weeks. Using her data, she created the following density curve. What is the shape of the distribution? Estimate the accurate values of the mean and median?

    Answers:

    • Shape:- Right-skewed

      Mean:- 4.5

      Median:- 5

    • Shape:- Left-skewed

      Mean:- 5

      Median:- 4.5

    • Shape:- Right-skewed

      Mean:- 5

      Median:- 4.5

    • Shape:- Left-skewed

      Mean:- 4.5

      Median:- 5

  • 18.

    Michela recorded the weights (in pounds) of her friends and created a graph as shown below. Select the correct answer related to the data of the density curve.

    Answers:

    • Shape:- Symmetric

      Mean:- 100 pounds

      Median:- 90 pounds

    • Shape:- Symmetric

      Mean:- 90 pounds

      Median:- 100 pounds

    • Shape:- Symmetric

      Mean:- 100 pounds

      Median:- 100 pounds

    • Shape:- Symmetric

      Mean:- 90 pounds

      Median:- 90 pounds

  • 19.

    Jason recorded the number of birds he bought in different months. The density curve below depicts his record. Which of the given choices represents the correct shape of the distribution? What are the accurate values of the mean and median?

    Answers:

    • Shape:- Left-skewed

      Mean:- 4.8

      Median:- 4

    • Shape:- Right-skewed

      Mean:- 4.8

      Median:- 4

    • Shape:- Left-skewed

      Mean:- 3.8

      Median:- 4

    • Shape:- Right-skewed

      Mean:- 3.8

      Median:- 4

  • 20.

    Susan owns a small bakery. she kept a record of the number of cakes she baked on different days. The following graph represents her data. Find the correct answer related to the shape, mean, and median of the density curve.

    Answers:

    • Shape:- Symmetric

      Mean:- 45

      Median:- 45

    • Shape:- Symmetric

      Mean:- 55

      Median:- 55

    • Shape:- Symmetric

      Mean:- 40

      Median:- 40

    • Shape:- Symmetric

      Mean:- 50

      Median:- 50

  • 21.

    Claire maintained a record of money she spent daily on food. The density curve below displays her data. Determine the shape of the graph and estimate the mean and median.

    Answers:

    • Shape:- Left-skewed

      Mean:- 15

      Median:- 13.5

    • Shape:- Left-skewed

      Mean:- 13.5

      Median:- 15

    • Shape:- Right-skewed

      Mean:- 15

      Median:- 13.5

    • Shape:- Right-skewed

      Mean:- 13.5

      Median:- 15

  • 22.

    The plot below represents the prices of old bikes in a city. What is the shape of the distribution? Find the accurate values of the mean and median.

    Answers:

    • Shape:- Left-skewed

      Mean:- 1570

      Median:- 1500

    • Shape:- Left-skewed

      Mean:- 1770

      Median:- 1500

    • Shape:- Right-skewed

      Mean:- 1770

      Median:- 1500

    • Shape:- Right-skewed

      Mean:- 1570

      Median:- 1500

  • 23.

    Mrs. Brown recorded the number of students present in her class on different days. The following density curve illustrates her data. Choose the correct answer related to the data of the density curve.

    Answers:

    • Shape:- Right-skewed

      Mean:- 14.4

      Median:- 15

    • Shape:- Left-skewed

      Mean:- 14.4

      Median:- 15

    • Shape:- Right-skewed

      Mean:- 13.4

      Median:- 15

    • Shape:- Left-skewed

      Mean:- 13.4

      Median:- 15

  • 24.

    Liza maintained a record of newcomers to her dance academy. She created the plot shown below with her record. Which of the following choices represents the correct shape of the distribution? What are the accurate values of the mean and median?

    Answers:

    • Shape:- Symmetric

      Mean:- 40

      Median:- 60

    • Shape:- Symmetric

      Mean:- 50

      Median:- 60

    • Shape:- Symmetric

      Mean:- 40

      Median:- 50

    • Shape:- Symmetric

      Mean:- 50

      Median:- 50

  • 25.

    Morgan noted the daily salaries of different employees in a company and created a density plot shown below. Find the correct answer related to the density curve's shape, mean, and median.

    Answers:

    • Shape:- Right-skewed

      Mean:- 33

      Median:- 30

    • Shape:- Left-skewed

      Mean:- 30

      Median:- 33

    • Shape:- Right-skewed

      Mean:- 30

      Median:- 33

    • Shape:- Left-skewed

      Mean:- 33

      Median:- 30

  • 26.

    Mrs. Smith maintained data about the heights (in inches) of her students. Using this data, she created the plot displayed below. Identify the shape of the graph and estimate the mean and median.

    Answers:

    • Shape:- Symmetric

      Mean:- 52 inches

      Median:- 50 inches

    • Shape:- Symmetric

      Mean:- 50 inches

      Median:- 50 inches

    • Shape:- Symmetric

      Mean:- 50 inches

      Median:- 52 inches

    • Shape:- Symmetric

      Mean:- 52 inches

      Median:- 52 inches

  • 27.

    Sarah recorded the number of female visitors between 6 pm to 7 pm on different days to her small pet shop. The graph below illustrates the data. What is the shape of the distribution? Estimate the accurate values of the mean and median?

    Answers:

    • Shape:- Right-skewed

      Mean:- 4.5

      Median:- 4.2

    • Shape:- Right-skewed

      Mean:- 4.2

      Median:- 4.5

    • Shape:- Left-skewed

      Mean:- 4.2

      Median:- 4.5

    • Shape:- Left-skewed

      Mean:- 4.5

      Median:- 4.2

  • 28.

    Denial recorded the rental prices of shops in a city. The graph below represents his record. Select the correct answer related to the data of the density curve.

    Answers:

    • Shape:- Left-skewed

      Mean:- $142.5

      Median:- $125

    • Shape:- Right-skewed

      Mean:- $142.5

      Median:- $125

    • Shape:- Right-skewed

      Mean:- $142.5

      Median:- $130

    • Shape:- Left-skewed

      Mean:- 142.5

      Median:- 130

    • Shape:- Left-skewed

      Mean:- $142.5

      Median:- $130

    • Shape:- Left-skewed

      Mean:- $142.5

      Median:- $130

    • Shape:- Left-skewed

      Mean:- $142.5

      Median:- $130

  • 29.

    Carol works in a salon. She recorded the number of visitors each day. With the help of the data, she created the following density curve. Which of the following options represents the correct shape of the distribution? What are the accurate values of the mean and median?

    Answers:

    • Shape:- Symmetric

      Mean:- 45

      Median:- 40

    • Shape:- Symmetric

      Mean:- 40

      Median:- 40

    • Shape:- Symmetric

      Mean:- 40

      Median:- 45

    • Shape:- Symmetric

      Mean:- 45

      Median:- 45

  • 30.

    The density curve below displays the prices of computers in a small shop. Find the correct answer related to the density curve's shape, mean, and median.

    Answers:

    • Shape:- Left-skewed

      Mean:- $300

      Median:- $330

    • Shape:- Left-skewed

      Mean:- $330

      Median:- $300

    • Shape:- Right-skewed

      Mean:- $330

      Median:- $300

    • Shape:- Right-skewed

      Mean:- $300

      Median:- $330

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