# measures of central tendency 5

Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.

** **

- Describe the measures of central tendency. Under what condition(s) should each one be used?
- 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

- 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

- Find the mean, median, and mode of newspapers sold over the 10-week period.
- Which measure(s) of central tendency best represent the data?
- Name any outliers.

- 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?
- 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 |

- Complete the frequency table.
- Find the mean of the raw data.
- Find the median of the raw data.

- 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 |

- Find the mean, median, and mode.
- Which is the best measure of central tendency?
- Remove Wednesday from the calculations. How does that impact the three measures of central tendency?
- Describe the effect outliers have on the measures of central tendency.

- 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 |

- Find the mean and median of the data.
- Which measure best represents the data? Use the results to support your answer.
- What is the outlier and how does it affect the data?

8. What do the letters represent on the box plot?

9. The test scores from a math final exam are as follows:

64 85 93 55 87 90 73 81 86 79

- Create a box plot using the data.
- 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.

- What is the median?
- What is the range?
- What is the interquartile range?
- In a short paragraph, describe the data in the box plot.