Free printable Thanksgiving activity

Thanksgiving Data and Statistics Investigation

A printable 20-problem Thanksgiving statistics activity with tables, center, spread, outliers, displays, sampling, and conclusions.

Grades 5–820 problemsAbout 65 minutesReference data and answers
Download the free activity PDF

Why this activity works

Statistics is most useful when a calculation supports a claim. Students summarize community-meal data, examine how an outlier affects the mean, choose appropriate displays, and distinguish a sample from the population it represents.

Teaching note

When students compare groups, ask for a complete sentence containing both a statistic and its units. 'Group A is bigger' is not yet a statistical argument.

Materials

  • Pencil
  • Graph paper
  • Optional calculator

Directions

Use the event data to calculate summaries, build displays, compare groups, and support every conclusion with a number.

Meals packed by eight volunteer teams

TeamMeals packed
A42
B48
C51
D55
E55
F60
G64
H105

Complete activity preview

Use the reference table above when provided. All questions and solutions also appear in the printable packet.

Describe the center

Calculate and interpret mean, median, and mode.

  1. 1Find the mean number of meals packed.
  2. 2Find the median.
  3. 3Find the mode.
  4. 4Find the total meals packed by all eight teams.

Describe the spread

Use range and deviations to understand variability.

  1. 5Find the range.
  2. 6How far is Team H's value from the median?
  3. 7Which value appears to be an outlier? Explain.
  4. 8Find the lower and upper quartiles using the median-of-halves method.

Effect of an outlier

Compare summaries with and without an unusual value.

  1. 9Remove Team H. Find the new mean for the seven teams.
  2. 10Does removing Team H change the median? Give the new median.
  3. 11Which better represents a typical team, mean or median? Explain.
  4. 12Replace 105\displaystyle 105 with 65\displaystyle 65. Find the new mean.

Display the data

Choose and reason from appropriate visual representations.

  1. 13Create a dot plot using intervals of 5 or 10 meals.
  2. 14Would a line graph or dot plot better show this distribution?
  3. 15If a box plot is drawn, would 105 make the right whisker or outlier region longer?
  4. 16What percent of teams packed at least 55\displaystyle 55 meals?

Sampling challenge

Distinguish samples, populations, and possible bias.

  1. 17A coordinator surveys only Team H about workload. Why is the sample biased?
  2. 18Describe a better way to sample volunteers from all eight teams.
  3. 19A random sample of 20 of 100 volunteers finds 15 would return. Predict how many of all 100 would return.
  4. 20In a sample of 32\displaystyle 32, 6\displaystyle 6 volunteers cannot return. Predict how many of 240\displaystyle 240 volunteers cannot return.
Open the complete solutions

Equivalent forms and clearly supported open-ended responses should receive credit.

Describe the center

1. 60 meals

2. 55 meals

3. 55 meals

4. 480\displaystyle 480 meals

Describe the spread

5. 63 meals

6. 50 meals above the median

7. 105; it is far above the cluster from 42 to 64

8. Q1=49.5\displaystyle Q_{1}=49.5 and Q3=62\displaystyle Q_{3}=62

Effect of an outlier

9. 3757\displaystyle \frac{375}{7}, or about 53.6 meals

10. No; the new median is still 55

11. Median; the outlier pulls the mean upward

12. 55\displaystyle 55 meals

Display the data

13. Plots vary but must include all eight values accurately

14. A dot plot; the data are separate team measurements, not change over time

15. Yes; it stretches the distribution to the right

16. 62.5%\displaystyle 62.5\%

Sampling challenge

17. Team H is unusual and does not represent the other teams

18. Randomly select volunteers from every team, or use a stratified sample

19. About 75 volunteers

20. 45\displaystyle 45 volunteers