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As reported by the U.S. Census Bureau in Current Population Reports, the percentage of adults in each state and the District of Columbia who has

  1. As reported by the U.S. Census Bureau in Current Population Reports, the percentage of adults in each state and the District of Columbia who has completed high school is provided.
    1. Find the mean, median, and mode for this data set. Be aware that the mode does not always exist.
    2. Find the range and standard deviation of this data set.
    3. A sentence interpreting the mean and standard deviation.
    4. A sentence interpreting the median.

Dataset:

State

Percent - Dataset

Alabama

95

Alaska

89

Arizona

95

California

84

Delaware

80

Georgia

81

Illinois

88

Kansas

83

Louisiana

85

Massachusetts

85

New Mexico

91

New York

93

North Carolina

88

Oklahoma

85

Texas

88

Utah

91

Vermont

86

Washington

80

Wisconsin

81

Wyoming

95

  1. Based on the following data,
    1. Determine and interpret the first, second, and third quartiles.
    2. Determine and interpret the interquartile range.
    3. Construct a box-plot and describe the shape of the distribution.
    4. Identify any outliers, if any.

Dataset:

96

59

55

111

76

91

60

57

84

123

56

89

61

72

89

72

81

88

75

79

  1. This is a set of data from a sample of n = 11 items:
    1. Produce a scatterplot of the data.
    2. What does the plot suggest about the relationship between the variables?
    3. Find and interpret the correlation coefficient.
    4. Find and interpret the coefficient of determination.
    5. Predict the value of y when x = 65. How much faith do you have in this prediction? Explain.

Dataset:

x

y

46.1

150.8

47.6

150.2

45.5

141.3

43.1

167.4

44.5

166.7

36.9

121.7

47.4

143.6

44.8

186.1

41.3

166.2

33.5

140.4

34.4

132.9

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