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(7.12) Probability and statistics

7.12A Instructional Activity #1. (7.12) Probability and statistics. The student uses measures of central tendency and range to describe a set of data. The student is expected to: (A) describe a set of data using mean, median, mode, and range.

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(7.12) Probability and statistics

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  1. 7.12A Instructional Activity #1 (7.12) Probability and statistics The student uses measures of central tendency and range to describe a set of data. The student is expected to: (A) describe a set of data using mean, median, mode, and range.

  2. One way to describe a set of data is to find the difference between the greatest and least numbers in the set. This difference is called the range of the data. Look at this set of data. What is its range? 64, 103, 81, 82, 75, 51, 99 • Find the difference between the greatest and • least values in the set. • ____ – ____ = ____ 51 52 103 The range of this set of data is 52.

  3. A set of data can also be described by the median, mode, and mean, each of which tells about the central tendency of the data. The median of a set of data is the middle value of all the numbers. To find the middle value, list the numbers in order from least to greatest or from greatest to least. If there are two middle values, their average is the median.

  4. Look at this set of data. What is the median? 64, 103, 81, 82, 75, 51, 99 The numbers in order are as follows: 103, 99, 82, 81, 75, 64, 51 Cross out numbers starting at either end to help you find the middle value. 103, 99, 82, 81, 75, 64, 51 The median of this set of data is 81.

  5. Look at this set of data. What is its median? 62, 173, 55, 59, 72, 280 • The numbers in order are as follows: 55, 59, 62, 72, 173, 280 • Cross out numbers starting at either end. • 55, 59, 62, 72, 173, 280 The middle values are 62 and 72. The average of the middle values is (62 + 72) ÷ 2, or 134 ÷ 2, or 67. The median of this set of data is 67.

  6. The mode of a set of data is the value or values that occur most often in the set. If all the values in a set of data appear the same number of times, the set has no mode. Look at this set of data. What is its mode? 565, 560, 560, 575, 575, 575, 580 • The value 575 occurs three times. • The value 560 occurs twice, • Each other number occurs only once. The mode of this set of data is 575.

  7. Look at this set of data. What is its mode? 355, 350, 555, 355, 245, 555, 689, 353, 355, 555, 775 The values 355 and 555 each occur three times. Each of the other values appears only once. This set has two modes, 355 and 555.

  8. The mean of a set of data is the average of the values. To find the mean, add all the values and then divide the sum by the number of values in the set. Look at this set of data. What is its mean? 240.5, 211.6, 185.8, 159.2, 205.4 240.5 211.6 185.8 159.2 + 205.4 1,002.5 The mean of these 5 values is their sum divided by 5. 1,002.5 ÷ 5 = 200.5 The mean of this set of data is 200.5.

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