Question

# John and Mary visited 29 randomly selected Starbucks locations and recorded the number of cappuccinos sold...

John and Mary visited 29 randomly selected Starbucks locations and recorded the number of cappuccinos sold at each coffee shop on April 1st. They summarized the data in the following frequency distribution table: (Variable ,Frequency) (0, 2 ) (1, 5) ( 2, 8) (3, 10) (4, 4) (5, 2)

a. For this scenario, identify the following: • Variable • Individual (Subject) • Sample • What percentage of Starbucks locations sold at least 3 cappuccinos?

b. Calculate the sample mean. Note: to find the sample mean first multiply x by f where each x is the Variable multiplied by the f which is each Frequency that will give you a new column f(x) THEN dive the total of the obtained f(x) by the total Frequency from the original data.

c. Draw a relative frequency histogram for the data. Label axes and units

d. Use information from part b to fill in in the blanks in the following statement: Summary: In the random sample of the 29 Starbucks locations, there cappuccinos, on average, sold at each coffee shop.

III. The following data set represents the test scores of students in an English Class at a College during the Spring semester. 31 33 35 36 40 40 41 43 45 47 48 51 51 52 55 56 59 70 71 74 76 78 84 87 87 90 93

a. Obtain the five-number summary for the data. (The five-number summary is: Minimum, Q1, Q2= median, Q3, and Maximum)

b. Construct a box-plot using the five number-summary. Show any outliers

c. For this frequency distribution, which measure of the center is larger, the median or the mean? (You do not have to calculate the mean to answer this question).

d. Circle the correct choice and fill in the blank: The (median/mean) better describes the center of this data set because the shape of this frequency distribution is .

e. Complete the following sentence: The test score does not exceed for 75% of students in this class.

IV. Given the following data: 82, 93, 98, 89, 88 Find: a) Mean b) Mode c) Mean d) Sample and Population Standard Deviation e) Sample and Population Variance SHOW ALL WORK

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