OBJ:

E.Q.:

YWBAT understand CENTRAL TENDENCIES likeMean, median, mode and range.

How do we find the mean, the median, the mode, and the range of a given data?

Vocabulary:*mean*median*mode*range

MEAN - the average. It’s found by adding all the scores/data divided by the number of scores/data.

n

xx

scoresofnumberthen

scorestheallofsumx

meanx

Example #1:• Find the mean of the following scores:

12, 10, 16, 15, 15, 11, 9, 8Solution:

n

xx

8

89111515161012 x

8

96x

12x

Example #2:• Find the mean of the following scores:

3, 5, 8, 11, 15, 15, 16, 16, 20, 31Solution:

n

xx

10

31201616151511853 x

10

140x

14x

Definition: MEDIAN - the middle value. It's found by arranging all the scores from the lowest to the highest value, then find the score at the middle. Example #3: Find the median of the scores below: A) 2, 5, 9, 7, 4, 8, 3, 5, 10

B) 12, 10, 16, 15, 15, 14, 9, 8

Definition: MODE - the score which appears frequently more than the other numbers.

Example #4: Find the mode of the scores below: A) 2, 5, 9, 7, 4, 8, 3, 5, 10

B) 12, 10, 16, 15, 15, 12, 9, 8,10

Definition: RANGE - the difference between the highest score and the lowest score.

Example #5: Find the range of the scores below: A) 2, 5, 9, 7, 4, 8, 3, 5, 10

B) 12, 10, 18, 15, 15, 12, 9, 7,10

Classwork 5/12:Find the mean, the median, the mode, and the range of each of the following sets of scores:

1. 16, 15, 18, 19, 12, 13, 12, 19

2. 14, 16, 13, 15, 16, 17, 18, 22

CLASSWORK 5/12:Find the mean, the median, the mode, and the range of each of the following sets of scores:

1. 16, 15, 18, 19, 12, 13, 12, 19 2. 14, 16, 13, 15, 16, 17, 18, 22 3. 23, 25, 27, 28, 29, 30, 22, 25, 30 4. 34, 35, 36, 37, 38, 39, 42, 45 5. 47, 44, 42, 45, 42, 43

6. 16, 15, 18, 19, 12, 13, 12, 19 7. 24, 26, 23, 25, 26, 27, 28, 32 8. 33, 35, 37, 38, 39, 40, 42, 45, 60 9. 24, 25, 26, 27, 28, 29, 32, 35 10. 37, 44, 32, 35, 42, 45 11. 16, 18, 20, 24, 25, 25, 27, 30 12. 3.4, 3.2, 4.1, 4.3, 5.2, 6.1. 6.3

13. 26, 25, 28, 29, 22, 23, 22, 29 14. 34, 36, 33, 35, 36, 37, 38, 42 15. 53, 55, 57, 58, 59, 60, 52, 45, 50 16. 34, 35, 36, 37, 38, 39, 42, 45 17. 67, 64, 62, 65, 62, 65 18. 76, 78, 70, 74, 75, 75, 77, 70 19. 13.4, 13.2, 14.1, 14.3, 15.2, 16.1. 16.3 20. 40, 47, 37, 42, 46, 31, 50, 41, 17, 43, 36