Statistics module 2 – all problems and paper completed (original) –

Statistics Module 2 – All problems and paper completed (original) – A+ Guaranteed from a 5-star rated tutor!

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 data.

c.      Find the median of the 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?

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.

 

Continued:

 

Using the data you collected in the Module 1, write a paper (1–3 pages) including all of the following content:

·        Calculate the mean, median, and mode of your collected data. Show and explain your calculations.

·        Are these numbers higher or lower than you expected? Explain. 

·        Which of these measures of central tendency do you think most accurately describes the variable you are looking at? Provide your justification. 

·        Create a box plot to represent the data, labeling and numerating all 5 points on the box plot. For the plot, you may draw and insert it in your paper as a picture. Make sure it is legible.

 

Data from Module 1 Provided Below:

The assignment this week is to collect quantitative data from your daily activities for a minimum of 10 days. Some examples of data to collect are:

  • The number of minutes you spend studying every day.
  • The time it takes to cook meals each day.
  • The amount of daily time spent talking on the phone.
  • The amount of time you drive each day.

In a paper (1–3 pages), describe the data you are going to collect and how you are going to keep track of the time. Within the paper, incorporate the concepts we are learning in the module including (but not limited to) probability theory, independent and dependent variables, and theoretical and experimental probability. Discuss your predictions of what you anticipate the data to look like and events that can skew the data. Collect data for at least 10 days. Do you think the data will provide a valid representation of these activities? Explain why or why not.

 

 

 

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