MAT201 Mod-2 Case

Answer the following problems showing your
work and explaining (or analyzing) your results.
1.
Describe the measures
of central tendency. Under what condition(s) should each one be used?
2.
Last year, 12
employees from a computer company retired. Their ages at retirement are listed
below. First, create a stem plot for the data. Next, find the
mean retirement age. Round to the nearest year.
55 77 64 77 69 63 62 64 85 64 56 59
3.
A retail store manager
kept track of the number of car magazines sold each week over a 10-week period.
The results are shown below.
27 30 21 62 28 18 23 22 26 28
a.
Find the mean, median,
and mode of newspapers sold over the 10-week period.
b.
Which measure(s) of
central tendency best represent the data?
c.
Name any outliers.
4.
Joe wants to pass his
statistics class with at least a 75%. His prior four test scores are 74%, 68%,
84% and 79%. What is the minimum score he needs on the final exam to pass the
class with a 75% average?
5.
Nancy participated in
a summer reading program. The number of books read by the 23 participants are
as follows:
10 9 6 2 5 3 9 1 6 3 10 4 7 6 3 5 6 2 6 5 3 7 2

Number of books read

Frequency

1–2

3–4

5–6

7–8

9–10

a.
Complete the frequency
table.
b.
Find the mean of the
raw data.
c.
Find the median of the
raw data.
6.
The chart below
represents the number of inches of snow for a seven-day period.

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

2

5

3

10

0

4

2

a.
Find the mean, median,
and mode.
b.
Which is the best
measure of central tendency?
c.
Remove Wednesday from
the calculations. How does that impact the three measures of central tendency?
d.
Describe the effect
outliers have on the measures of central tendency.
7.
A dealership sold 15
cars last month. The purchase price of the cars, rounded to the nearest
thousand, is represented in the table.

Purchase price

Number of cars sold

$15,000

3

$20,000

4

$23,000

5

$25,000

2

$45,000

1

a.
Find the mean and
median of the data.
b.
Which measure best
represents the data? Use the results to support your answer.
c.
What is the outlier
and how does it affect the data?
8. What do the letters represent on the box
plot?
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9. The test scores from a math final exam are
as follows:
64 85 93 55 87 90 73 81 86 79
a.
Create a box plot
using the data.
b.
Label the five points
on the box plot and include numerical answers from part “a.”
10. Using the data and results from Question
9, answer the following questions.
a.
What is the median?
b.
What is the range?
c.
What is the
interquartile range?
d.
In a short paragraph,
describe the data in the box plot.