Activities

1. Determine the mean, median and mode of the data displayed in the stem and leaf plot below.

2. Determine the lower quartile, median, upper quartile, range, and interquartile range of the box and whiskers plot below.

3.  Determine if the scatterplot shown here has a positive, negative, or no correlation.

4. The box and whiskers plot below shows the date various pieces of furniture in an antique shop were built. The oldest 25% of the furniture was made before what year?

5. Estimate the next value in the scatter-plot of distance versus time.

6. A large family is all living in one house. Create a stem and leaf plot of their ages:  3, 23, 5, 13, 9, 99, 44, 100, ?, 2, 17, and 45. Then determine what age the missing family member is if the mean of all of their ages is 35 years old?

7. Create a box and whiskers plot based on the stem and leaf data below.

8. The stem and leaf plot below represents the favorite numbers of 15 students. What are the mean, median and mode of the set of numbers?

9. The scatter-plot below shows a series of house prices (in order from least to greatest) for various houses for sale in your town. Approximately what is the average increase in value from one house to the next?

10. The stem and leaf plot below describes the house numbers on a certain block of Chestnut street. The middle 50% of the numbers are between what two values?

11. The stem and leaf plot below displays the lengths of certain trout in a fish hatchery. What is the probability that the next fish sampled is over 5 inches larger than the median of the fish already studied?

12. The box and whisker plot below displays prices for a certain pair of sneakers at several local stores as well as some Internet vendors. What is your best estimate of the median price for the sneakers?

13. How much larger is the range than the interquartile range of this box and whiskers plot?

14. Find the minimum, lower quartile, median, upper quartile, and maximum values of this stem and leaf plot.

15. The scatterplot below displays the distance a football was thrown by five students in gym class. Estimate the mean distance the football was thrown?

16. How many data items are required to create a box and whiskers plot?

17. 20 students from a high school class were asked their current age. The following box and whisker plot was created with their data. At least how many students were 17 years old?

18. Create a list of numbers such that the mean is one more than the mode and the mode is one more than the median.

19. What two numbers could be added to this stem and leaf plot to change the mean, median and the mode.

20. The mode and median of this box and whisker plot are identical. How could one additional number change the mode, but not the median?

21. Name two sets of data that could be displayed by a box and whiskers plot and two sets that could be displayed by a stem and leaf plot.

22. Imagine you are the teacher of your math class. If you created a fair (not too easy or too hard) test, what would the box and whiskers plot of the results of that test look like?

23. What is the approximate probability that:

1. An additional number is less than the lower quartile?
2. An additional number is less than the lower quartile or greater than the upper quartile?
3. An additional number falls within the interquartile range?
4. An additional number is greater than the median and less than the lower quartile?

24. Create a list of numbers so that the interquartile range will be half of the range.

25. Create a scatter plot of the years ten people you know were born. What are the mean, median, and mode of your data?

Answer Key/Rubric

1. Mean: 29.38, Median: 29, Mode: 33

2. Lower quartile: 12, median: 44, upper quartile: 60, range: 76, interquartile range: 48

3. Positive correlation

4. 1880

5. Various answers including 250

6. 60 years old

8. Mean: 24.87, Median: 18, Mode: 7, 23

9. Approximately $7,000 per house

10. 1907.5 and 1929.5

11. or 30%

12. $155.00

13. 22

14. Minimum: 10, Lower Quartile: 23, Median: 31, Upper Quartile: 40, Maximum: 69

15. 52.2 yards

16. You only need one point, but it does not tell you anything about the data

17. At least 6 students were 17

18. Various answers including:  -5,-4, -3, -2, 0, 1, 2, 2, 2, 2, 38

19. Various answers including 75 and 0

20. The mode and median are both 20. If there are two values of 20 before adding another number, the first (in order) could be the mode and median. When you add another number, say 25, if there was already another 25 then there are two 20s and two 25s meaning the mode changes to 20 and 25. The median however, is now the average of 20 and 20, which is still 20.

21. Various answers including: A box and whiskers plot could display test scores or the weight of various animals. Stem and leaf plots could display ages of a group of people or years that the Yankee’s won the World Series.

23. What is the approximate probability that:

1. 25%
2. 50%
3. 50%
4. 0%

24. Various answers including: 1, 3, 4, 5, 6, 7, 9

25. Various answers.