Question

For questions 1-5 (and additional practice question if desired) please use the below data set: Seattle is known for its love of coffee (after all its where Starbucks originated). We sampled one hundred people in the city of Seattle asking them how much they spend a month on coffee in dollars. Our responses are listed below:

31 18 94 50 72 86 21 38 24 38

11 51 69 50 91 32 41 88 20 36

53 20 36 21 73 68 69 63 22 71

38 52 31 79 36 71 22 83 23 24

71 26 97 86 19 91 51 49 46 36

48 82 17 24 32 55 58 25 66 100

97 52 85 88 18 89 12 43 33 84

9 95 43 98 1 30 48 3 20 87

90 38 98 12 67 64 99 8 15 39

37 13 9 58 29 26 99 20 96 42

NOTE: -Please do consider completing this assignment with the help of Excel or another computing program. Ensure to check your values that you are inputting to the computer program. -If completing this assignment using a computer program you are expected to write the following on this answer sheet for each question (where appropriate): 1) the formula you need to use, 2) the formula with your found values included in the formula, 3) the final answer.


1. What are the mean, median and mode of our data set?
2. What is the range of our data set?
3. What is the variance and standard deviation of our data set?

4. What is the skewness of our data set?
5. What is the five-number summary for our data?
6. Using Chebyshev’s Theorem, at least what percentage of the data values must be within z= 1.25 standard deviations of the mean?
7. Extra Practice (not required to do) Construct a box plot for our data set. Then determine if we have any outliers based on your box plot and our data set.

Answer 1

Formula Ref:

4. What is the skewness of our data set?

Skewed to the right

when data are skewed right, the mean is larger than the median

5. What is the five-number summary for our data?

5 Numbers Summary
Min	1.00
Q1	24.00
Median (Q2)	44.50
Q3	72.25
Max	100.00

6.Using Chebyshev’s Theorem, at least what percentage of the data values must be within z= 1.25 standard deviations of the mean?

7. Extra Practice (not required to do) Construct a box plot for our data set. Then determine if we have any outliers based on your box plot and our data set.

- No outliers