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Mathematics, 19.05.2021 23:10 manarsadi6

Answer the following questions using what you've learned from this unit. Write your responses in the space provided. 1. The list below shows the ages of the first 20 customers at a new computer game store.

6, 7, 9, 10, 14, 15, 16, 17, 20, 26, 26, 29, 31, 34, 35, 38, 40, 51, 59, 67
a) Decide what class intervals to use, and then create a frequency table for the ages. (4 points: 2 points for intervals, 2 points for frequencies)

Age Frequency

b) Use the frequency table from Part a to create a histogram. (4 points: 2 points for labeling the intervals on the x-axis, and 2 points for the correct bar heights)

2. The list below shows the number of computer games a store sold each day for the first 11 days it was open.

27, 28, 29, 35, 35, 36, 37, 42, 43, 46, 79
a) Find the five-number summary for the data. Show your work. (5 points: 1 point for each number)

b) Use your results from Part a to display the data on a box plot. (2 points)

c) Use your box plot from Part b to find the interquartile range (IQR) of the data. (1 point)

3. Scientists measured how many days had rain each month for three different cities. For example, in Miami, the first month had 6 days of rain, the next month had 5 days of rain, and so on. These box plots show the results:

a) Fill in the blanks to describe the shape of each box plot. (3 points: 1 point for each blank)

Miami:

Seattle:

Las Vegas:
b) Fill in the blanks to compare the centers of the three box plots. (4 points: 1 point for each blank)

Better measure of center to use:

Center for Miami: 7.5 days
Center for Seattle: days
Center for Las Vegas: days

Which city had the largest typical number of days of rain each month?
c) Find and compare the spreads of the three box plots. (3 points: 1 point for each blank)

Better measure of spread to use:

Spread for Miami: 8.5 days
Spread for Seattle: days
Spread for Las Vegas: 2 days

Which city had the lowest variation in the days of rain each month?
4. Researchers weighed a sample of river otters and a sample of sea otters. These dot plots show the results (rounded to the nearest pound).

a) Identify the shape of each dot plot. (2 points: 1 point for each dot plot)

b) Which dot plot has a larger center? What does this mean in terms of the otters? (2 points: 1 point for each question)

c) Identify any outliers. What do you think the outliers represent? (2 points: 1 point for identifying, 1 for explanation)

d) Which dot plot has a larger spread?(1 point)

e) How do the outliers affect the spread of the dot plot? (1 point)

5. Use the following information to answer the questions.
A survey asked 75 people if they wanted a later school day start time.
45 people were students, and the rest were teachers.
50 people voted yes for the later start.
30 students voted yes for the later start.
a) Use this information to complete the frequency table. (5 points: 1 point for each cell that was not given above)
Vote YES for later start Vote NO for later start Total
Students

Teachers

Total

b) Use the completed table from Part a. What percentage of the people surveyed were teachers? (2 points)

c) Use the completed table from Part a. What percentage of the people surveyed were teachers who wanted a later start time? (2 points)

d) What does the number in the bolded cell represent? (1 point)

6. Middle school class representatives conducted a poll during lunch to see which activity students wanted for their year-end party. The results are shown in this relative frequency table:
Water slides Roller skating Total
6th grade 0.17 0.33 0.50
7th grade 0.15 0.15 0.30
8th grade 0.14 0.06 0.20
Total 0.46 0.54 1.0
a) For the entire school, which was more popular, water slides or roller skating? (1 point)

b) 34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides? (1 point)

c) Does there seem to an association between grade level and field trip choice? (2 points)

d) If this trend continued, would you expect 9th graders to prefer the water slides or roller skating? Explain your answer. (2 points)

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