QR Challenge: Stats Review

Created using the ClassTools QR Treasure Hunt Generator

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Teacher Notes

A. Prior to the lesson:

1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.

2. If their phone camera doesn't automatically detect and decode QR codes, ask students to

Download a QR reader (e.g. I-Nigma | NeoReader | Kaywa ) onto their mobile devices
Bring these devices into the lesson.

3. Print out the QR codes.

4. Cut them out and place them around your class / school.

B. The lesson:

1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.

2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.

3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!

C. TIPS / OTHER IDEAS

4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.

Questions / Answers (teacher reference)

Question	Answer
1. The following are the scores of a player in 11 cricket matches. 6.5, 5.0, 5.2, 5.3, 5.5, 4.7, 4.6, 6.3, 3.0, 4.0, 9.0. Find the standard deviation.	SD= 1.48
2. Find the standard deviation for the following values: 30, 80, 60, 70, 20, 40, 60	SD= 20.3
3. The marks of 5 students scored out of 50 are 20, 25, 30, 40, 35. Find the standard deviation of the marks.	SD= 7.07
4. Lily took 10 tests this year. Here are her scores: 70, 76, 80, 58, 90, 86, 76, 70, 90, 100. Find the standard deviation and variance of her test grades.	SD= 11.62
5. Find the mean absolute deviation for the set. S= {85, 90, 68, 75, 79}	MAD= 6.48
6. Sherrie just registered for her wedding. So far 6 items have been fulfilled on her registry. Find the mean price of the fulfilled items. $29, $58, $15, $129, $75, $22.	Mean= $54.67
7. Find the mean absolute deviation of the gift values $29, $58, $15, $129, $75, $22.	MAD = 32.67
8. The ages of the Smith family are 35, 5, 42, 9, 16, 3, 8, and 12. The ages of the Johnson family are 1, 5, 29, 3, 7, 35, 6, and 9. Compare the mean absolute deviation of the two families.	MAD= Smith = 11.125, Johnson = 10.0625
9. Find the mean absolute deviation for the set {65, 90, 85, 70, 70, 95, 55}	MAD= 12.24
10. A highly selective university will only admit students who place at least 2 z-scores above the mean on the ACT test. If the mean for the ACT is 18 with a standard deviation of 6, what is the minimum score that an applicant must obtain to be accepted?	Score of 30
11. The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the z-score to a utility bill of $60.	z-score= -1.25
12. A certain automobile tire has a mean life span of 35,000 miles and a standard deviation of 2250 miles. If the life span of a randomly selected tire was 31,000 miles, find the z-score of this tire. Would this be considered unusual?	z-score = -1.78
13. The mean speed of a vehicle along a stretch of highway is 56 mph with a standard deviation of 4 mph. What is the z-score of a car that travels at 62 mph?	z-score = 1.5
14. Determine the number of standard deviations that includes all data values listed for the situation. The mean time employees take of a company to commute to work is 40.75 minutes; the standard deviation is 12.9 minutes. {42 min, 45 min, 53 min, 34 min, 16 min, 48 min, 52 min, 24 min, 56 min, 47 min, 28 min, 48 min}	2 standard deviations
15. The heights of 500 students at a local school were recorded and found to be approximated by a normal curve with the mean height of 66 inches and a standard deviation of 3 inches. What percentage of the students are between 60 inches and 66 inches?	47.7%
16. The heights of 750 students were recorded and found to be approximated by a normal curve with a mean of 65 inches and a standard deviation of 4 inches. About how many students are taller than 61 inches?	630 students
17. Find the range and the interquartile range of the set of values. {37, 21, 44, 19, 22, 47, 26, 32, 25, 43, 11, 15}	Range= 36, Interquartile Range = 20
18. Find the variance of the set of data: {21, 28, 23, 26, 5, 12, 6, 19, 31}	78.68