Statistics Module 1

Using Microsoft Excel to perform your computations, what is the result of the following:

55.613 + 88.58 = ?

Report your answer to 3 decimal places.

144.193

Using Microsoft Excel to perform your computations, what is the result of the following:

82.996 - 32.033 = ?

Report your answer to 3 decimal places.

50.963

Using Microsoft Excel to perform your computations, what is the result of the following:

29.421*28.465 = ?

Report your answer rounded to 4 decimal places.

837.4688

Using Microsoft Excel to perform your computations, what is the result of the following:

60.844 ÷ 65.151 = ?

Report your answer rounded to 4 decimal places.

0.9339

Using Microsoft Excel to perform your computations, what is the result of the following:

50.274²  = ?

Report your answer rounded to 4 decimal places.

2,527.4751

Using Microsoft Excel to perform your computations, what is the result of the following:

√47.845 = ?

Report your answer rounded to 4 decimal places.

6.917

Using Microsoft Excel to perform your computations, what is the result of the following:

(65.951+64.127)/2  = ?

Report your answer rounded to 4 decimal places.

65.039

Determine the level of measurement for the following data: A person's age.

• Nominal

• Ordinal

• Interval

• Ratio

Ratio

A group of 200 students are randomly selected from CU. The 200 students' average GPA is 3.1.

• Simple random 

• Cluster

• Stratified

• Convenience

• Systematic

Simple Random 

A group of 200 students are randomly selected from CU. The 200 students' average GPA is 3.1. What is the sample in this study?

• All students at CU

• The 200 selected students at CU

• All college students in the US

• All possible collections of 200 CU students 

The 200 selected students at CU

Which of the following are quantitative variables? (select all that apply).

• A student’s GPA

• The area of an enclosure

• The daily weather

• The color of a liquid

A student’s GPA, the area of an enclosure 

Which of the following are qualitative variables? (select all that apply).

• The age of a parakeet

• The color of a liquid 

• The distance from home to work

• The daily weather

The color of a liquid, the daily weather 

Consider the following frequency table:

What is the cumulative frequency for bin 2?

29

The histogram below summarizes the revenue for the transactions in one day at a zoo's gift shop. How many transactions totaled at least $20 and less than $80?

287

The histogram below summarizes the revenue for the transactions in one day at a zoo's gift shop. How many transactions totaled less than $60?

228

Suppose you constructed a frequency table from a data set with 7 classes, class width of 4, and minimum value of 12. Assuming the data set only contains whole numbers, what is the largest possible value in the data set?

39

Suppose you  have the following data set:

If you construct 3 classes, what is your class width?

72

What is the smallest value in this data set?

10

Below is a relative frequency ogive for the exam scores of a Math 2510 class. Find the 50th percentile.  Enter your answer as a score out of 100

70

Below is a relative frequency ogive for the exam scores of a Math 2510 class. Find the 80th percentile.  Enter your answer as a score out of 100 (eg. 30% would be 0.3 or 30).

70

Below is an ogive for the height of seniors at a high school. How many seniors are between 62 and 68 inches?

122

Which of the following must occur for a graph to be considered a time series graph?

• A measure of time is on the x-axis

• The line graph is always increasing

• They are representative of bar graphs 

• The graph starts at 0

A measure of time is on the x-axis

Consider the following:

A researcher randomly assigns students to a group that is allowed to drink coffee for a period of time and one that isn't. The researcher records the number of hours each group spends studying during this period of time and compares them. Which of the following would apply to this scenario?

Select all that apply.

• This is an observational study

• This is an experiment

• There is a treatment group

• There is a control group

• This study uses a placebo

• This is a double-blind experiment

This is an experiment, there is a treatment group, there is a control group

If your cumulative frequency is 42 and your total number of values is 125, what is your relative cumulative frequency? 

Report your answer as a decimal rounded to four decimal places.

0.336

If your maximum value is 83 and your minimum value is 49 and you have 4 classes, what is your class width?

9

The number of runs scored in a baseball game is what kind of variable?

• Quantitative

• Qualitative

Quantitative

To poll CU's freshman class, 5 residence halls are randomly chosen, and all students in the chosen halls are polled.

• Convenience

• Cluster

• Systematic

• Simple random

• Stratified

Cluster

Every 35th lightbulb made in a factory is selected for testing.

• Simple random 

• Stratified

• Cluster

• Convenience

• Systematic

Systematic 

What is the smallest value in this data set?

8

Consider the following frequency table: How many classes are there?

7

Consider the following frequency table: What is the class size (width)?

19

Consider the following frequency table: How many data points are there?

54

Consider the following frequency table: What is the relative frequency for bin 4? Round to 4 decimal points

0.2143

Consider the following frequency table: What is the midpoint for bin 2?

33

Consider the following frequency table: What is the relative cumulative frequency for bin 6?

1

Below is a histogram for the height of seniors at a high school. How many seniors are between 65 and 68 inches?

63

Below is an ogive for the height of seniors at a high school. How many seniors are above 62 inches?

171

A researcher wants to study the number of hours spent playing video games by major for all college students between the ages of 18 and 22. 328 college students across all majors were studied. Of the 328 selected students, 43 were music majors. The combined average number of hours spent playing video games for the selected music majors each day was 1.35 hours.

In this study. 

1. the 1.35 average number of hours spent playing video games is considered a [statistic or parameter]

2. all college students between the ages of 18 and 22 are considered the [ sample or population] 

3. the type of major is a [quantitative or qualitative] variable.

4. this investigation would be considered an [ observational or experimental] study.

1. statistic

2. population

3. qualitative

4.  observational 

For each of the following, match the type of study/information with the most appropriate graph.

Graphs: Pareto Chart, Ogive, Time Series, Bar Graph

Note: Each answer is only used once.

1. Top 3 complaints made when looking to where to focus customer service.

2. The total number of tornados that have touched down as of a given week in a 3-month time span.

3. The number of deaths each day due to COVID in a 30-day period.

4. Reporting the average response for each question on a survey where the respondents select a number 1-5

1. Pareto Chart

2. Ogive

3. Time Series

4. Bar Graph