Unit 4 EOCT Review

1. The accompanying diagram shows a box-and-whisker plot of student test scores on last year’s Mathematics A midterm examination.

Give the 5 number summary for this box plot

Box and Whisker Plots

2. The data set 4, 5, 6, 7, 9, 9, 10, 10, 11, 14, 17, 17, 17, 19, 19 represents the number of hours spent on the Internet in a week by students in a mathematics class. Draw a box plot for the data.

Box and Whisker Plots

3. Find the mean, median, and mode for the data set 2, 4, 5, 6, 7, 10, 10.

4. What is the interquartile range of the data below? 

20 21 23 27 28 29 30 31

Mean, Median, Mode & IQR

5. Find the MAD for the following data.

5, 10, 20, 15, 15

Find the MAD

6. Find the MAD for the following data.

4, 10, 7, 5, 3, 2, 1, 0, 8, 5

Find the MAD

7. Write the data set that is represented by the dot plot below.

Dot Plots

Range8. The table shows the sizes, in square feet,

of a sample of eight houses from a neighborhood. House 5 is a renovated warehouse. What is the range of the sizes of the house?

House

1 2 3 4 5 6 7 8

Size 1025 1288 2344 988 12985 1500 1077 2455

9. A reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below.

44, 49, 39, 43, 50, 44, 45, 49, 51

Give the 5 number summary for this data set.

Box Plots

10. Use the table below to create a histogram showing the frequencies for the ages of 50 persons attending a dolphin show at the zoo.

11. What is the frequency for 40-50?

Histograms

Interval

Frequency

0-10 810-20 920-30 630-40 540-50 1050-60 12

12. Jeffrey surveys the 13 girls and 13 boys in his class to find out how many pairs of shoes they have in their closets. Which statement is true?

A)The value of Q3 for the boys is greater than the value of Q3 for the girls.

B)The mean number of shoes for the boys is greater than the mean number of shoes for the girls.

C)The value of Q3 for the boys is less than the value of Q3 for the girls.

D)The median number of shoes for the boys is greater than the median number of shoes for the girls.

Two-Way Frequencies

3. Given the scatter plot, what is the best type of function to represent the data? Is there a positive or negative correlation?

Scatter Plots

4. Isabella makes deposits to her savings account each month, and she also earns interest. She records the amount of money in her savings account each month, and finds that the equation y = 218x + 100 can be used to estimate the dollars in her savings account for any month. Write a statement that is true based on Isabella’s equation.

5. Sam tracks the growth of a plant, and records its height in centimeters each week. He determines that the equation y = 2.3x + 16 can be used to estimate the plant’s height for any week. Write a statement that is true based on Sam’s equation.

Interpreting Linear Equations

6. Weak Negative Correlation

7. Strong Positive Correlation

8. No Correlation

Draw a picture that represents:

9. What is the best-fitting linear line for the set of ordered pairs? 

(1, 4.2), (2, 3.8), (3, 3.5), (4, 2.7), (5, 2.2)

Line of Best Fit

10. A pair of variables that would have a negative correlation.

11. A pair of variables that would have a positive correlation.

Give an Example of…

12. A data set has a correlation coefficient ofr = –0.916. What can you say about the

correlation coefficient?

13. The event s x and y have a correlation coefficient of r = -0.08. What is the relationship between x and y?

Correlation Coefficients

14. A residual plot for a set of data with a linear regression equation is shown. Write a statement that is true for this residual plot.

15. Yusef found the regression line for a set of data. Afterward, he plotted the residuals on the graph shown here. Write a statement that is true for this residual plot.

16. John creates a regression line for his data and then plots the residuals. The residual plot looks like a quadratic function. What does this mean?

17. John creates a regression line for his data and then plots the residuals. The residual plot has no pattern. What does this mean?

Residuals

18. A residual plot for a set of data with a linear regression equation is shown. Which statement is correct?

A)The least squares regression line is a good fit since there is a definite pattern in the residual plot.

B) The least squares regression line is not a good fit as there is a definite pattern in the residual plot.

C)The least squares regression line is a good fit as you have about the same number of points above and below the line.

D)The least squares regression line is not a good fit since there is about the same number of data points above and below the line.