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Notes 2.5 – Day 2 – Measures of Center

Notes 2.5 – Day 2 – Measures of Center. MEAN (or Arithmetic Average ):. SUM. The of all the n numbers in a data set divided by Ex. – Find the mean of the following integers: -4, -1, -10, 4, 9, -12, 9, 13 Add them up! : = Now , DIVIDE by 8 since there were 8 integers :

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Notes 2.5 – Day 2 – Measures of Center

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  1. Notes 2.5 – Day 2 – Measures of Center

  2. MEAN (or Arithmetic Average): SUM • The of all the n numbers in a data set divided by • Ex. – Find the mean of the following integers: • -4, -1, -10, 4, 9, -12, 9, 13 • Add them up! : = • Now, DIVIDE by 8 since there were 8 integers : • The average of the 8 integers above is

  3. MEDIAN (or Middle Value): MIDDLE ASCENDING • The number when the numbers in a data set have been arranged in or descending order. Steps: • Arrange the numbers in order. • Count the number of elements in the data set. • If there are an number of elements, select the middle element. • If there are an number of elements, determine the mean of the middle two elements. ODD EVEN

  4. Ex. – Find the median of the following integers: -4, -1, -10, 4, 9, -12, 9, 13 • Order them up: • Count them up!How many elements? Even or odd? • Find the meanof the two middle elements!

  5. MODE (or Most Often): MOST • The number that occurs the in a data set. • You can have modes, mode, or modes in a data set. Step - • Count the number each of elements occurs in the data set. (It may be helpful to arrange the numbers in order.) Ex. – Find the mode of the following integers: -4, -1, -10, 4, 9, -12, 9, 13 SEVERAL

  6. RANGE (or Spread): HIGHEST LOWEST • The difference between the _ and ________ numbers that occur in a data set. Ex. – Find the range of the following integers: -4, -1, -10, 4, 9, -12, 9, 13

  7. Your Turn: • A running back ran the football 10 times for the following yardage: • 10, -4, 2, -6, 12, 4, 8, 0, 10, 4 • What was the running backs longest gain? • What was his biggest loss? • What was the range of his rushing attempts? • What was his total net yardage? (Hint: Total Net yardage is the sum of all the gains and losses.)

  8. What was his mean number of yards per rushing attempt? • What was his median number or yards per rushing attempt? • What number(s) represent the mode for the number of yards per rushing attempt

  9. Homework : Section2.5 pages 102 #’s 35-52

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