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Section 8.5

Chapter 8. Section 8.5. Exercise #5. Step 1:. Rewrite the numbers from smallest to largest. Step 2:. Count from both ends to find the middle number. Find the median of the set of numbers. 326 , 245 , 123 , 222 , 245 , 300 , 350 , 602 , 256.

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Section 8.5

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  1. Chapter 8 Section 8.5 Exercise #5

  2. Step 1: Rewrite the numbers from smallest to largest Step 2: Count from both ends to find the middle number Find the median of the set of numbers. 326, 245, 123, 222, 245, 300, 350, 602, 256 123, 222, 245, 245, 256, 300, 326, 350, 602 The median is 256.

  3. Chapter 8 Section 8.5 Exercise #9

  4. + median = = 13 Step 2 Find the median Step 1 Rewrite the data set in ascending order Find the first and third quartiles, Q1 and Q3, of the set of numbers. 11, 12, 16, 14, 14, 14, 8, 12, 10, 18 8, 10, 11, 12, 12, 14, 14, 14, 16, 18

  5. Find the first and third quartiles, Q1 and Q3, of the set of numbers. 11, 12, 16, 14, 14, 14, 8, 12, 10, 18 8, 10, 11, 12, 12, 14, 14, 14, 16, 18 median = 13 Q1= 11 Q3= 14 Step 3 List the numbers to the left of the median. Step 5 Step 4 Repeat steps 3 and 4 with numbers to the right of the median to find Q3. Find the median (first quartile, Q1) of this list. 8, 10, 11, 12, 12 14, 14, 14, 16, 18 The first and third quartiles for the set are 11 and 14.

  6. Chapter 8 Section 8.5 Exercise #13

  7. Find the min and max of the set of numbers. 2, 8, 5, 6, 9, 7, 4, 4, 5, 4, 3 2, 3, 4, 4, 4, 5, 5, 6, 7, 8, 9 The min is the smallest number of a set. min = 2 The max is the largest number of a set. max = 9

  8. Chapter 8 Section 8.5 Exercise #21

  9. median = 13 Q1= 11 Q3= 14 Give the five number summary of the set of numbers. 11, 12, 16, 14, 14, 14, 8, 12, 10, 18 min, Q1, median, Q3, max From the previous example: min = 8 max = 18 8, 11, 13, 14, 18

  10. Chapter 8 Section 8.5 Exercise #27

  11. Five-number summary 8, 11, 13, 14, 18 median min max Q1 Q3 8 18 11 13 14 Step 1 Find the five-number summary of the set Step 4 Step 3 Step 2 Mark off the numbers in the summary on the number line to scale. Construct a horizontal number line from the min to the max values. Draw a box from Q1 to Q3 (so the number line is in the middle of the box). Construct a box and whisker plot for the set of numbers. 11, 12, 16, 14, 14, 14, 8, 12, 10, 18

  12. Chapter 8 Section 8.5 Exercise #33

  13. Closing prices for Adobe Systems stock are shown during a two-week period in 2003. Construct and interpret a box-and-whisker plot for this data. Week one Week two

  14. + Step 1 Find the five-number summary for the set of data. Construct and interpret a box-and-whisker plot for this data. 27.06, 26.43, 26.52, 26.52, 26.14, 26.63, 26.7, 26.78, 26.93, 27.43 26.14, 26.43, 26.52, 26.52, 26.63, 26.7, 26.78, 26.93, 27.06, 27.43 min, Q1, median, Q3, max min =26.14 max =27.43 = 26.67 median =

  15. 26.14, Q1, 26.67, Q3, 27.43 Construct and interpret a box-and-whisker plot for this data. 26.14, 26.43, 26.52, 26.52, 26.63, 26.7, 26.78, 26.93, 27.06, 27.43 Q1 = 26.52 26.14, 26.43, 26.52, 26.52, 26.63 Q3 = 26.93 26.7, 26.78, 26.93, 27.06, 27.43

  16. median min max Q3 Q1 26.14 26.52 26.93 27.43 Step 2 Draw a whisker plot using the five-number summary 26.67 Construct and interpret a box-and-whisker plot for this data. 26.14, 26.43, 26.52, 26.52, 26.63, 26.7, 26.78, 26.93, 27.06, 27.43 26.14, 26.52, 26.67, 26.93, 27.43

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