Exercise Calculate the range for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. 8

Exercise Calculate the median for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. 5

Exercise Calculate the mean for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. 5

Exercise Calculate the mode for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. none

The median and mean, which would be 5 more. Exercise Which of these statistics would change if you added 5 to each piece of data? The median and mean, which would be 5 more.

92 88 96 100 76 88 96 72 84 80 68 76 88 88 86 76 100 80 72 92 88 96 80 84

Frequency Distribution Table A table used to organize a large set of data.

Frequency Distribution Table Data (D) Tally Frequency (f) Product (Df)

Data Column The data column of the frequency distribution table contains the data arranged in numerical order.

Frequency Column The frequency column of the frequency distribution table represents the number of times each number occurs (number of tallies). The number at the bottom of the column is the total number of data.

Product Column The product column of the frequency distribution table is the product of the numbers in the data column (D) and the frequency column (f). The number at the bottom of the column is the sum of all data.

Example Find the range, mean, median, and mode for Mrs. Koontz’s students’ test scores.

range: 100 – 68 = 32 mean: product total frequency total 2,046 24 = ≈ 85.3

median: twelfth score: 86 thirteenth score: 88 86 + 88 2 174 2 = = 87 mode: 88

Interval Frequency Table Age (interval) Frequency (f) 10–19 14 20–29 10 30–39 17 40–49 8 50–59 15 60–69 12 70–79 5 80–89 2

Histogram A histogram is a bar graph representing equal intervals, with no space between the bars.

Number of People Age

Age (interval) Midpoint (m) Frequency (f) Product (mf) 10–19 14.5 14 203 20–29 24.5 10 245 30–39 34.5 17 586.5 40–49 44.5 8 356 50–59 54.5 15 817.5 60–69 64.5 12 774 70–79 74.5 5 372.5 80–89 84.5 2 169 Total 83 3,523.5

Example The following are a set of scores on a twenty-five-point quiz: {17, 24, 19, 22, 23, 12, 24, 25, 25, 13, 18, 22, 24, 23, 22, 20, 18}.

Example The following numbers are the test scores: {60, 62, 68, 68, 69, 69, 70, 77, 78, 78, 78, 79, 79, 80, 80, 80, 81, 82, 82, 82, 83, 83, 83, 83, 83, 85, 89, 90, 91, 92, 92, 93, 93, 95, 99}.

Midpoint (m) Frequency (f) Product (mf) Interval