**Introduction to Statistics â€“ MATO 205**

**Homework 1: Chapters 1 & 2**

**Name** ______________________________________________ Â Â Â Â Â Â Â Â Â Â Â Â Â **Date** _______________

**Fill in the space.**

- The science of collecting, organizing, presenting, analyzing, and interpreting data to assist in making more effective decisions is referred to as ________________________________ .
- _______________ Â Â Â _________________ uses descriptive statistics to estimate population parameters.
- The entire set of individuals or objects of interest or the measurements obtained from all individuals or objects of interest is known as a _____________________________ .
- The _______________ level of measurement is a quantitative data that can be ordered, differences between data entries are meaningful, and the zero point indicates the absence of something.
- In a ____________ Â _______ experiment , neither the subjects nor the people interacting with the subjects know to which group each subject belongs.
- The value that lies halfway between the upper limit of one class and the lower limit of the next class is called ___________ Â Â ___________________ .
- A graph in which the classes for qualitative data are reported on the horizontal axis and the class frequencies (proportional to the heights of the bars) on the vertical axis is called a ______ Â Â __________ .
- A graph that displays the cumulative frequency of each class of quantitative data by using straight lines to connect points plotted above the upper class boundaries is called _______________ .
- The distance between lower and upper class limits is called the _________ Â __________Â
- In a ____________ Â Â Â _______________ distribution, the class frequencies are divided by the sample size.

**Free Response Question: Show all your work to earn full credit.**

- The following data represent the numbers of curl-ups completed in 60 seconds for a group of 16 eight-year-old boys.Â
- The frequency distribution shows the ages of students volunteering at a local animal shelter.

31 Â Â Â Â 34 Â Â Â Â 41 Â Â Â Â 36 Â Â Â Â 27 Â Â Â Â 29 Â Â Â Â 18 Â Â Â Â 33 Â

31 Â Â Â Â 28 Â Â Â Â 34 Â Â Â Â 22 Â Â Â Â 26 Â Â Â Â 28 Â Â Â Â 36 Â Â Â Â 42Â

Use the data above to complete the frequency table below:

**Class**

**Frequency,Â **

**Class Boundaries**

**Midpoint**

**Relative Frequency**

**Cumulative Frequency**

15 – 19

1

14.5 -19.5

17

6%

1

20 – 24

25 – 29

30 – 34

35 – 39

40 – 44

**Total**

16

**Ages of Student Volunteers (in Years)**

**Class**

**Frequency**

10-12

5

13-15

9

16-18

2

19-21

11

22-24

6

- What is the relative frequency for the 4th class?
- What is the cumulative frequency for ages 18 and under?
- What percentage of the student volunteers were between the ages of 19 and 24?
- How many students were surveyed?
**e.**What is the upper class boundary for the 2nd class? Â Â