MAT 201 Mod-2 Describe the measures of central tendency. Under what condition(s) should each one be used..

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?
.jpg” alt=”Box plot”>

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.