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UNIT 3: Statistics, Data Analysis, and Probability

UNIT 3: Statistics, Data Analysis, and Probability. 6PS 1.1 Mean, Median, Mode. Period: 2, 4, 6: 1/22/15 Period 3, 5: 1/23/15. MODE: Mode is the most frequently occurring number in a set. Example: For the set [3, 2, 8, 2, 4] The number that appears most often is 2, so 2 is the mode.

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UNIT 3: Statistics, Data Analysis, and Probability

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  1. UNIT 3:Statistics, Data Analysis, and Probability

  2. 6PS 1.1Mean, Median, Mode Period: 2, 4, 6: 1/22/15 Period 3, 5: 1/23/15

  3. MODE: • Mode is the most frequently occurring number in a set. Example: For the set [3, 2, 8, 2, 4] The number that appears most often is 2, so 2 is the mode.

  4. Big Note: Some sets will have multiple modes. Example: For the set [3, 2, 8, 2, 4, 3] The numbers that appear most often are both 2 and 3, so the modes of this set are 2 and 3.

  5. continued…Mode • For the set [3, 2, 8, 4] Since no numbers appear more than any other numbers, there is no mode for this set.

  6. STOP…Check for Understanding • The data below shows the number of kilowatt-hours of electricity used last month at each of the houses on Harris street. 620, 570, 570, 590, 560, 640, 590, 590, 580 What is the mode of this data?

  7. Mean • Mean is often referred to as the “average” of a set of numbers. • To find the mean, add up all the values, and divide the sum by the number of values in the set. MEAN= (sum of a group of numbers) (NUMBER of numbers in the group)

  8. Example In calculating mean… • If the values are 15, 45, and 33 • The sum is 15+45+33=93 • The number of numbers in the set is 3 • So 93÷3=31

  9. STOP…Check for Understanding Parisa’s four math test scores were 7, 8, 10, and 6. Hector’s test scores were 6, 7, 9, and 10. Charles’ test scores were 8, 10, 10, and 9. What is Hector’s mean score?

  10. STOP…Check for Understanding • Parisa’s four math test scores were 7, 8, 10, and 6. Hector’s test scores were 6, 7, 9, and 10. Charles’ test scores were 8, 10, 10, and 9. • Who had the highest mean?

  11. Median • Median is the middle number in an ordered set. • You must put the numbers in order. • In an even set of numbers, the median is the mean of the two middle terms.

  12. Example #1 • For the set [3, 7, 8, 2, 4] These numbers aren’t in order, so place them in order:

  13. continued… 2, 3, 4, 7, 8 The middle number is 4, so 4 is the median.

  14. STOP…Check for Understanding • Find the median for the following set [3, 7, 8, 2, 4, 6]

  15. ANSWER • 4 and 6 are both in the middle • The average of 4 and 6= 5, so the median of this set is 5.

  16. Directions: Find the mean, median, and mode. Must show your work where necessary. Only do the odds! 1) 18, 18, 15, 18, 18, 2) 94, 69, 84, 69, 90 3) 4, 18, 18, 23, 23, 19, 8, 4) 12, 15, 16, 17, 15, 17 5) 16, 3, 3, 3, 8, 24 6) 22, 5, 22, 13, 12, 24, 7) 23, 1, 1, 18, 1, 3, 18, 3 8) 23, 10, 2, 6, 10, 14, 1 Independent Practice 6PS 1.1

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