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Problem #1: listed below are the earnings (in millions of dollars) of a sample of celebrities with the 10 highest incomes in a recent year.

Problem #1: listed below are the earnings (in millions of dollars) of a sample of celebrities with the 10 highest incomes in a recent year. (round to one decimal)

332

302

235

225

100

90

88

84

75

67

  1. Find the range of the sample data: ______________
  2. Find the variance of the sample data: _______________

Find the Standard deviation of the sample data:__________________

Problem 2: Percentiles: the table below represents the number of chocolate chips in 20 cookies. Use to find the values:

19 19 20 20 20 20 22 22 23 23

24 24 25 26 26 27 27 28 28 30

a)The 16th percentile of P16_________________ b) The 40th percentile of P40 _______________

Interpret the result for P16: _____________________________________________________________________________________________________________________________

STATCRUNCH COMMANDS FOR PERCENTILES: enter data in statCrunch -Stat - Summary Stat- < select column < scroll down to percentiles: enter the percentile value - < Compute!

  1. Quartiles: Q1, Q2, Q3, representing the P25,P50and P75 accordingly.

  1. Interquartile Range (IQR) : Q3-Q1

  1. Five Number Summary:.It consists of these five values: can be found by constructing a boxplot graph

1. 2. 3. 4. 5. ______

Problem 2: Time spent playing video games: A sample of 200 college freshman was asked how many hours per week they spent playing video games. The following frequency distribution present the results.

Number of hours

Frequency

STATCRUNCH COMMANDS FOR WEIGHED MEAN: input classes in one column, frequency in the other column. Go to Stat < Summary Stats

1 - 7

59

8 - 14

77

15 - 21

53

22 - 28

11

What is the average time spent on playing video games ? ____________________________(Round to the nearest hour)

Problem #1: listed below are the earnings (in millions of dollars) of a sample of celebrities with the 10 highest incomes in a recent year. (round to one decimal)

332

302

235

225

100

90

88

84

75

67

  1. Find the range of the sample data: ______________
  2. Find the variance of the sample data: _______________
  3. Find the Standard deviation of the sample data:__________________

STATCRUNCH COMMANDS:Input data set (you must have 10 entries) < stat < summary stats < columns < select column < compute!

Three methods to interpret the standard deviation:

1.Range Rule of Thumb:the majority (such as 95%) of sample values lie within two standard deviations of the mean.

Minimum Value :____________ - __________

Maximum Value:____________ + __________

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