Algebra 1 Unit 9: Data Analysis Practice Day 1: Measures ...

[Pages:7]Algebra 1

Unit 9: Data Analysis

Day 1: Measures of Central Tendency & Spread

Practice Assignment

Practice Name:____________________________

Block: _______

1. Find the following for the set of data below: Unit 10 Test Scores: 32, 54, 87, 84, 95, 72, 91, 75, 80, 72

1.) Find the mean (Round to nearest whole number)

2.) Find the median(Q2).

3.) Find the mode.

4.) Find the range.

5.) Find Q1.

6.) Find Q3.

7.) Find the IQR.

8.) Find the MAD.

b. Which number appears to be an outlier and why? c. What does the outlier do to the mean? If the outlier were removed, what would happen to the mean?

Algebra 1

Unit 9: Data Analysis

Practice

2. A website captures information about each customer's order. The total dollar amounts of the last 8 orders are listed below.

a. What is the mean absolute deviation?

b. What does the mean absolute deviation mean in context of the problem scenario?

3. A company keeps track of the age at which employees retire. It is considered an early retirement if the employee retires before turning 65. The age of 11 employees who took early retirement this year are listed in the table. a. Find the values of Q1, Q2, and Q3.

b. Find the interquartile range.

c. Are there any striking deviations in the data?

4. Your scores on the first 4 tests in Algebra were 85, 80, 90, and 93. What do you need to make on the 5th test to have a 90 average in the class?

Algebra 1 Dot Plots and Histograms

Practice Assignment

Unit 9: Data Analysis

Practice Name:____________________________

Block: _______

1. Analyze the given dot plot which displays the number of home runs by each member of the Atlanta Braves team this season so far and answer the questions accordingly.

a. Describe the distribution of the data. Is the data skewed left or right? What does this mean in terms of the problem?

b. How many players are on the team?

c. How many players hit more than 2 home runs?

d. How many players hit at least 1 home run? e. How many players scored more than 1 and fewer than 9 home runs?

2. Find the mean, median, mode, and range of each dot plot. Then, answer the questions.

Mean: ________________ Median: ________________ Mode: ________________ Range: ________________

Mean: ________________ Median: ________________ Mode: ________________ Range: ________________

a. Which dot plot has the greater mean? Why?

b. Is the mean or the median the better measure of central tendency of the data for Juniors? Why?

c. Is the mean or the median the better measure of central tendency of the data for Seniors? Why?

Algebra 1

Unit 9: Data Analysis

3. The histogram shows the amount of money in dollars that people donated to a fund to help save the whales.

a. How many people donated between $50 and $59?

b. For which interval did the most people donate money to the fund?

c. How many people donated $50 or more to the fund?

d. Is the data skewed left, skewed right, or symmetric? Explain what this means in context of the problem.

Practice

e. At about what value would the median fall?

4. Match each histogram to the appropriate description. Then explain why you chose each scenario for each histogram.

_______ i. The first 5000 digits of pi (hint: each digit is used approximately the same number of times) _______ ii. SAT scores for a group of college students. _______ iii. The number of medals won in the 1992 Winter Olympics. _______ iv. The scores on a fairly easy US History test.

a.

b.

c.

d.

Algebra 1 Day 3: Box Plots

Practice Assignment

Unit 9: Data Analysis

Practice Name:____________________________

Block: _______

1. The accompanying box-and-whisker plot represents the cost, in dollars, of twelve CD's.

a) Which cost is the upper quartile?

b) What is the range of the costs of the CD's?

c) What is the median?

d) Which cost represents the 100th percentile?

e) How many CD's cost between $14.50 and $26.00?

f) How many CD's cost less than $14.50? 2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.

a) What is the range of the starting salaries?

b) About 30 graduates make below what amount?

c) How many graduates have a salary above $33,000?

d) 25% of the graduates make above what amount?

3. Mr. Andrews made a box-and-whisker graph of the quiz grades in his chemistry class. a) What grade is the lower quartile? b) What is the interquartile range? c) Which grade represents the 75th percentile? d) What is the highest grade scored on the quiz? e) Are there any outliers? Explain what this means in context of the problem.

Algebra 1

Unit 9: Data Analysis

Practice

4. The accompanying box-and-whisker plots can be used to compare the annual incomes of three professions. Based on the box-and-whisker plots, determine if each statement is true or false.

a. The median income for nuclear engineers is greater than the income of all musicians.

b. The median income for police officers and musicians is the same.

c. Nuclear engineers have the largest interquartile range of incomes among the three professions.

d. All nuclear engineers earn more than all police officers.

e. Police officers have the less variability (difference in spread) in earnings.

f. 25% of musicians make$20,000 or less.

g. There are more data values for musicians between the median and Q3 than between Q1 and the median.

h. 50% of musicians make between $20,000 and $81,000.

i. 50% of nuclear engineers make between $50,000 and $70,000.

j. Nuclear engineers have the largest range of incomes.

Algebra 1

Unit 9: Data Analysis

Practice

TV & Homework Minutes per Night

The box plot represents 160 freshmen and how much time they spend on homework and watching TV.

0 20 48 60

Homework Time 190

0 15

60

110

TV Time 225

________

1. What percent of the freshmen watch TV for at least 15 minutes per night?

________

2. What is the 3rd quartile for the TV time data?

________

3. How many freshmen spend 60 minutes or less working on homework?

________

4. How many freshmen spend at least 110 minutes watching TV?

________

5. What percent of freshmen completed between 20 and 60 minutes of homework?

________

6. What percent of freshmen watched 60 to 225 minutes of TV a night?

________

7. Are there any outliers?

For questions 8 ? 13, identify if each statement is true, false, or cannot be determined.

________

8. Some freshmen didn't watch TV that month.

________

9. 15% of freshmen did not watch any TV.

________

10. 25% of the freshmen spend between 48 & 60 minutes per night on homework.

________

11. 75% of the freshmen spend at least 60 minutes watching TV.

________

12. In general, these freshmen spend more time watching TV than doing homework.

________

13. The homework box plot is skewed left.

14. Is it more common for a freshman at this high school to spend more than 1 hour on homework or more than 1 hour watching TV? Explain.

15. How would you describe both distributions? Explain why.

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