1. Use the following box plots to answer the following questions.
  1. Identify the median price of a sandwich at each shop.
  1. If you wanted to buy a sandwich but not spend much money, which shop would you try first? Explain your answer.
  1. At which shop would you expect the price to have the most variability? The least? Explain how you know.

2. Angela and Carl began working at a computer store a year ago. The following data represents their sales for the past 12 months. Compare the mean and median.
Anglea / 34 / 47 / 1 / 15 / 57 / 24 / 20 / 11 / 19 / 50 / 28 / 37
Carl / 51 / 17 / 25 / 39 / 7 / 49 / 62 / 41 / 20 / 6 / 43 / 13
3. Draw a histogram that represents each given shape:
  1. Symmetric
/
  1. Uniform
/
  1. Skewed Right
/
  1. Skewed Left

4. The median score on a biology test was 85. 25% of the students scored less than 75 points and 25% scored more than 90. Give an example of a score that you would consider unusual/an outlier.
5. The two – way frequency table below shows the results of a survey in which ninth-grade students were asked which world language elective they most wanted to take next semester.
Spanish / French / German / Total
Boys / 80 / 30
Girls / 20 / 80
Total / 110 / 40
Complete the table and answer the following questions:
  1. What percentage of students who are boys want to take Spanish?
  1. What percentage of students who want to take German are girls?
  1. What percentage of the population wants to take French?

6. Terri waitressed 10 days out of the last 2 weeks. The amount of money she earned each day in tips are as follows:
$32, $58, $17, $27, $69, $73, $42, $38, $24, and $52.
Find the following:
Mean / Median / Range / Interquartile Range / Standard Deviation
  1. If $58 is replaced with $60, which measure will change: the mean, median or range? Explain why that measure changed?
  1. Do you think the IQR will always be less than the range? Explain.

7. Use the given box plot to answer the following question:
Speed (in mph) of some of the fastest animals

Suppose the cheetah was added to the list and its speed is 70 mph, would the addition of the cheetah be an outlier? Explain. (Assume that when the cheetah’s speed was added, it does not affect Q3)
8. Create an example of a skewed right distribution with a minimum of ten data values. Create a real
world scenario for your skewed left distribution.
9. Listed below are the ages of the actors who won the Oscar for best actress for the first 30 years of the Academy Awards.
30, 32, 33, 34, 34, 35, 35, 37, 38, 38, 38, 38, 40, 40, 40,
41, 41, 41, 41, 42, 43, 43, 49, 49, 51, 52, 52, 53, 56, 62,
a.Complete the frequency table by organizing the data into seven equal intervals.
Age Interval / Frequency
b.Use the frequency table to complete a histogram. You must have labels.
c.Describe the shape of the distribution. What measures of center and spread would you use to characterize the data? Why?
d.Use the histogram to estimate the median and interquartile range (IQR)