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7.3 and 7.4 Extra Practice 7.3-7.4 Quiz: TOMORROW Section 7.3 • Find the mean, median, and mode of the data set 1. 12, 15, 17, 11, 8, 14, 7, 14 x = 12.25, Median = 13, Mode = 14 2. 0.3, 8.9, 7.6, 3.7, 1.5, 4.2, 7.6, 8.1 x = 5.2375, Median = 5.9, Mode = 7.6 Section 7.3 • Find the range and standard deviation of the data set. 1. 1.25, 3.69, 5.67, 4.89, 0.12, 4.35, 2.78 Range = 5.55, Standard Deviation = about 1.8 2. 515, 720, 635, 895, 585, 690, 770, 840 Range = 380, Standard Deviation = about 119.6 Standard Deviation xi – x ( x i – x )2 Sum: sum n Section 7.4 • A normal distribution has a mean x and standard deviation σ. Find the indicated probability for a randomly selected x-value from the distribution. 1. P(x < x + 2σ) 97.5% 2. P(x > x – σ) 84% 3. P( x - 3σ < x < x +σ) 83.85% Section 7.4 • Give the percent of the area under the normal curve represented by the shaded region. 2.5% 50% Section 7.4 • A normal distribution has a mean of 63.7 and a standard deviation of 2.9. Find the probability that a randomly selected x-value from the distribution is in the given interval. 1. Between 57.9 and 66.6 81.5% 2. At most 69.5 97.5% Section 7.4 • A normal distribution has a mean of 496 and a standard deviation of 109. Use the standard normal table on p. 296 to find the indicated probability for a randomly selected x-value from the distribution. 1. P(x < 630) .8849 88.49% 2. P(x < 270) .0179 1.79%