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Mr. B gave a test in Physics. Scores for the class are: 25,53,70,33,26,71,54,31,51, and 72. Assume the 10 scores from this test are normally distributed.

1. Find the Median, Mean, and Interquartile Range. Round to one decimal place if needed.

2. Find the Standard Deviation of these ten values. Round to one decimal place if needed. Even though this is the entire class, use the “sample” method when finding the Standard Deviation.

3. If this set of scores is representative of all Physics classes Mr. B has (with the same mean and same standard deviation), on average what percent of students pass this test? (Passing is 60%, 60/100 or higher). Compute z-score to 3 decimal places and percent probability to 4 decimal places.

Thanks to anyone who helps!!

May 6, 2019

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(25, 26, 31, 33, 51), (53, 54, 70, 71, 72)

1. Mean  = 48.6

Median  =  [51 + 53] / 2  = 104/ 2 = 52

Q1   =  31

Q3   =    70

Interquartile range  = 70 - 31  =  39

2 Standard deviation for a sample  = 18.8

3.        [ 60 - 48.6]

_________   =  .606  =  z score

18.8

The %  passing  ≈ .7291   May 6, 2019