statistics..

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qnan44

Mathematics

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please complete the questions on excel file attached

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Here are the scores for a recent test in M414 Statistics. 90 100 90 75 95 80 100 90 80 90 1) (2 points) Find the median of the set. 2) (2 points) Find the mean of the set. 3) (2 points) Find the mode of the set. 4) (2 points) Find the variance of the set. 5) (2 points) Find the standard deviation of the set. 80 90 75 70 80 70 70 80 60 85 95 90 100 90 100 85 Mr. Octavian’s grades were as follows …. 79 89 85 80 73 86 84 77 76 72 86 78 82 76 71 78 76 75 77 75 80 76 89 81 80 97 83 6) (4 points) Find the mean, μ, and standard deviation, σ, of the data. μ= σ= 7) (3 points) Construct a normal curve. 8) (3 points) Jim scored a 77 What was his z-score? Z-score = 9) (3 points) What percent of people scored worse than Jim based on his z score ? 10) (3 points) What percent of people scored better than Jim based on his z score ? 11) (3 points) Janice got a 86. What was her z-score? Z-score = 12) (3 points) What percent of people scored worse than Janice on based on her z score ? 13) (3 points) What percent of people scored better than Janice based on her z score ? 14) (3 points) Whitney had a z-score of 1.2. Approximately what was her score? 15) (3 points) Heath had a z-score of - .5. Approximately what was his score? 87 82 82 78 86 75 84 The lifetime of lightbulbs has a mean of 1500 hours and a standard deviation of 100 hours. A sample of 50 lightb 16) (3 points) What is the probability that the sample mean lifetime is greater than 1520 hours? 17) (3 points) What is the probability that the sample mean lifetime is greater than 1540 hours? 18) (3 points) What is the probability that the sample mean lifetime is between 1490 and 1550 hours? s. A sample of 50 lightbulbs is tested. I'm shopping for a Chevrolet Camaro. These are the prices I've found. Chevrolet Camaro Price $ 22,598.00 $ 20,998.00 $ 24,097.00 $ 31,998.00 $ 17,998.00 $ 18,598.00 $ 20,998.00 $ 18,998.00 $ 21,598.00 $ 21,998.00 $ 17,998.00 $ 21,598.00 $ 24,598.00 $ 17,998.00 $ 19,598.00 $ 18,998.00 $ 25,905.00 $ 30,800.00 19) (5 points) What is the mean price? 20) (5 points) What is the standard deviation of the p 21) (5 points) What percentage of the car prices are w 22) (5 points) If I pay about $31,000 for my camaro am 23) (5 points) If I don't want to pay too high or two lo age of the car prices are within $17,947.45 and $26,205? Why? to pay too high or two low for my camaro, what price range should I stay within? Hint: Find the z-score the z-score
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Explanation & Answer

Here is my answer 😀

Here are the scores for a recent test in M414 Statistics.
90
100

90
75

95
80

100
90

80
90

1) (2 points) Find the median of the set.
87.50
2) (2 points) Find the mean of the set.
85.00
3) (2 points) Find the mode of the set.
90.00
4) (2 points) Find the variance of the set.
116.00
5) (2 points) Find the standard deviation of the set.
10.77

80
90

75
70

80
70

70
80

60
85

95
90

100
90

100
85

Mr. Octavian’s grades were as follows ….
79
89
85
73
86
84
76
72
86

80
77
78

82
76
71

78
76
75

77
75
80

76
89
81

6) (4 points) Find the mean, μ, and standard deviation, σ, of the data.
80.44
5.63
μ=
σ=
7) (3 points) Construct a normal curve.

Normal Curve
0.08
0.0...


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