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7.3 and 7.4 Extra Practice

This review covers essential statistical concepts from Sections 7.3 and 7.4, including finding the mean, median, mode, range, and standard deviation of various data sets. Students will work through multiple practice problems, such as calculating statistical measures for given data, determining probabilities from a normal distribution, and interpreting the area under the normal curve. Perfect for preparation for the upcoming quiz, this review provides clear examples and solutions to strengthen understanding of statistics.

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7.3 and 7.4 Extra Practice

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  1. THIS REVIEW IS ON MY TEACHER WEB PAGE!!! 7.3 and 7.4Extra Practice 7.3-7.4 Quiz: TOMORROW

  2. Section 7.3 • Find the mean, median, and mode of the data set • 12, 15, 17, 11, 8, 14, 7, 14 x = 12.25, Median = 13, Mode = 14 • 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

  3. Section 7.3 • Find the range and standard deviation of the data set. • 1.25, 3.69, 5.67, 4.89, 0.12, 4.35, 2.78 Range = 5.55, Standard Deviation = about 1.8 • 515, 720, 635, 895, 585, 690, 770, 840 Range = 380, Standard Deviation = about 119.6

  4. Standard Deviation

  5. 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. • P(x < x + 2σ) 97.5% • P(x > x – σ) 84% • P( x - 3σ< x < x +σ) 83.85%

  6. Section 7.4 • Give the percent of the area under the normal curve represented by the shaded region. 2.5% 50%

  7. 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. • Between 57.9 and 66.6 81.5% • At most 69.5 97.5%

  8. 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. • P(x < 630) .8849 88.49% • P(x < 270) .0179 1.79%

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