# even 156. If it is true for a function that f(-x) = -f(x), is the function even, odd, or neither? odd

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even

156. If it is true for a function that f(-x) = -f(x), is the function even, odd, or neither?

odd

157. For a given function, f(-9) = 3 and f(9) = -3. Is this function even, odd, or neither?

odd

158. For a given function, f(7) = -2 and f(-7) = -2. Is this function even, odd, or neither?

even

F.LE.1, 2, 3, 5: Construct and Compare Linear and Exponential Models and Solve Problems, Interpret Expressions for Functions in terms of the situation they model

159. Your company is offering you two different promotions. You can choose a 3% salary increase per year, or a \$50 increase per month. Which option is better if you expect to stay at your company for longer than 15 years?

3% salary increase (Graph them)

160. The goldfish population in a lake has been increasing each year. The data so far is: 3, 10, 29, 88, …

a) Make a scatter plot of the goldfish population.

b) What type of model is better—linear or exponential? exponential (multiply by 3)

c) How many goldfish should you expect the next year if the trend continues? about 264
161. Given the sequence 4, 9, 14, 19,… does it appear to be linear or exponential? linear

Write a function for the sequence and determine the 25th term of the sequence.

f(n) = 5n – 1 and a25 = 124

162. Given the sequence1, 4, 16, 64,…does it appear to be linear or exponential? exponential

Write a function for the sequence and determine the 12th term of the sequence.

f(n) = 1(4)n – 1 and a12 = 4194304

163. Draw a scatter plot of linear growth and a scatter plot of exponential decay.

164. Given the tables below, identify if the rate of change is constant or variable.
 x 1 2 3 4 5 y 26 22 18 14 10

constant, -4 each time
 x 1 2 3 4 5 y 3 8 10 17 30

variable

165. Charlie has an ant farm. He started with only 12 ants. After one year, he had 68 ants. After 2 years, he had 124 ants. Find a linear function to model the growth of Charlie’s ant farm. y = 56x + 12

166. Becky is growing bacteria for a science experiment. She started out with 8 bacteria. After one hour, she had 32 bacteria. After 2 hours, she had 128 bacteria. Write an exponential model for the growth of Becky’s bacteria.

y = 8(4)x

167. If the parent function is f(x) = mx + b, what is the value of the parameter m for the line passing through the points (4, 10) and (-5, 8)?

m = 2/9

168. If the parent function is f(x) = mx + b, what is the value of the parameter b for the line passing through the points (-2, 7) and (13, 2)?

m = -1/3
Unit 4: Describing Data

S.ID.1, 2, 3: Summarize, Represent, and Interpret Data on Single Count of Measurable Variable

169. Calculate the mean absolute deviation of the following movie costs.

\$9.50, \$10.00, \$8.00, \$7.50, \$12.00, \$10.00, \$9.00, \$10.50

\$1.06

170. The following table shows the amount of money Joe and Tom make each day at work.

 Day Joe’s Income Tom’s Income Monday \$65 \$50 Tuesday \$30 \$45 Wednesday \$55 \$60 Thursday \$50 \$50 Friday \$40 \$65

a) Who has the greatest median income per day? What is the difference in the median pay for Joe and Tom? medians are the same (both 50)

b) What is the difference in the interquartile range for Joe’s income and Tom’s income?

Joe IQR = 25 and Tom IQR = 15 so difference is 10

171. Use the frequency table below to create a histogram.

Use your histogram to calculate the lower quartile, upper quartile, and median of the data. lower quartile is 3000-3999; median is 3000-3999; upper quartile is 4000-4999

Does the histogram reflect a normal distribution?

not normal

172. Given the histogram, calculate the following:

a) What is the lower quartile? 1-1.5

b) What is the upper quartile?

2-2.5

c) What is the median?

1-1.5

d) Would you describe this data as normal, bimodal, multimodal, skewed left, or skewed right?

skewed left

173. Given the histogram, calculate the following:

 Age Frequency 18 3 20 5 21 2 23 6 25 7 28 4 30 5

a) What is the lower quartile?
20-29
b) What is the upper quartile?
50-59
c) What is the median?
30-39
d) Is this data normal, bimodal, multimodal, skewed left, or skewed right? bimodal

174. Ms. Johnson took a poll of the ages of the students she had in her cooking class. She organized the data into this chart: Using the data, make a dot plot,

box plot, and histogram.

min =18; Q1 = 20; median = 23;

Q3 = 28; max = 30

Does the data appear to be normal

or bell-shaped?

kinda normal

175. Which histogram below is normal, skewed, or uniform?   normal uniform skewed left

176. Jessica is a student at Adams High School. These histograms give information about the number of hours of community service completed by each of the students in Jessica’s homeroom and by each of the students in the ninth-grade class at her school.  Which conclusion can be drawn from the data?

a. The lower quartile of the number of community service hours completed by Jessica’s homeroom is greater than the lower quartile of community service hours completed by each student in the ninth-grade class.

b. The upper quartile of the number of the number of community service hours completed by Jessica’s homeroom is lower than the lower quartile of community service hours completed by each student in the ninth-grade class.

c. The median of the number of the number of community service hours completed by Jessica’s homeroom is lower than the median of community service hours completed by each student in the ninth-grade class.
177. The high and low temperatures for last seven days are below: Compare the spreads of the data using the Mean Absolute Deviation.

a. The average variation from the mean is greater for the highs than the lows.

b. The average variation from the mean is the same for the highs and the lows.

c. The average variation from the mean is less for the highs than the lows.
178. Below are two samples of data.

Sample A: 2, 2, 2, 3, 7, 7, 8, 9, 11, 14

Sample B: 0, 1, 5, 6, 9, 9, 10, 10, 10, 10

Which statement accurately compares the two samples?

a. The mean of Sample A is 5 less than the mean of Sample B.

b. The IQR of Sample A is greater than the IQR of Sample B.

c. The median of Sample A is 2 greater than the median of Sample B.

d. The median of Sample A is equal to the median of Sample B.

179. The table below shows the number of cars sold by eight salespeople at a car dealership last year.

 Salesperson Cars Sold Salesperson Cars Sold Bobbie 180 Paul 125 Jim 172 Rita 150 Lena 185 Sandeep 149 Mindy 147 Tito 179

Calculate the mean, median, lower quartile, upper quartile, and interquartile range for the data.

Then draw a box and whisker plot.

mean = 160.875; median = 161; Q1 = 148; Q3 = 179.5; IQR = 31.5; min = 125; max = 185

180. Below is a table of ages of volunteers at the Regional Library. The mean age of volunteers is 15.

Find the MAD for this data. MAD = 0.8

181. Ellen and Sadie played 5 video games and recorded their scores in the table. Which girl had the greater mean absolute deviation for her scores?

Ellen (Ellen = 7.2 and Sadie = 5.2)

182. The household income for 6 different households is shown. What is the mean absolute deviation for the group (round to the nearest tenth)? Calculate the mean, median, lower quartile, upper quartile, minimum, maximum, and interquartile range. Then draw a box and whisker plot.

mean = 54; median = 51.5; Q1 = 45; Q3 = 62; IQR = 17; min = 38; max = 76

183. This box and whisker plot show the data from males and females selling candy bars for their school. The top is males and the bottom is females. Which group sold the highest median number of candy bars? females

184. What is the best description for the histogram shown below? (normal, uniform, bimodal, multi-outliers, skewed) bimodal
185. This table shows the average high temperature, in ºF, recorded in Atlanta, GA, and

Austin, TX, over a six-day period. Which conclusion can be drawn from the data?

 Day 1 2 3 4 5 6 Temperature in °F in Atlanta, GA 85 88 83 79 81 85 Temperature in °F in Austin, TX 80 86 82 80 93 89

a. median same; interquartile range greater for Austin than Atlanta

b. mean temperature and interquartile range of Atlanta was higher

c. mean temperature of Austin was higher and median temperature of Austin was lower

d. mean and median temperatures of Atlanta were higher

186. A school was having a canned food drive for a local food bank. A teacher determined

the median number of cans collected per class and the interquartile ranges of the

number of cans collected per class for the juniors and for the seniors.

 The juniors collected a median number of cans per class of 35, and the interquartile range was 10.

 The seniors collected a median number of cans per class of 40, and the interquartile range was 8.

 Both the juniors and the seniors had the same third quartile number of cans collected.

Which range includes only the numbers that could be the third quartile number of cans collected for both classes?

a. 25 to 45 b. 32 to 48 c. 25 to 48 d. 40 to 45

187. Which set(s) of data have an outlier?

a. 10, 15, 17, 17, 12 c. 10, 12, 40, 150, 100

b. 10, 20, 80, 40, 190 d. 60, 50, 12, 11, 10
188. What is the mean absolute deviation of the set {12, 10, 14, 4, 5}?

a. 9.0 b. 3.6 c. 5.4 d. 1.8

189. The fat contents of seven different sandwiches available at a restaurant are 40, 61, 13, 17, 25, 45, and 30. Find the mean absolute deviation of the fat contents.

13.4

190. The following box plots show the number of cookies eaten by students in our class. The top box plot represents the cookies eaten by the boys and the bottom box plot represents the cookies eaten by the girls. Based on the box plots, who ate LESS cookies? girls

1 2 3 4 5 6 7 8 9

191. A teacher determined the median scores and interquartile ranges of scores for a test she gave to two classes.

 In Class 1, the median score was 72 points, and the interquartile range was 12 points.

 In Class 2, the median score was 78 points, and the interquartile range was 8 points.

 Both classes had the same third quartile score.

Which range includes only the numbers that could be third quartile scores for BOTH classes?

a. 72 to 78 points b. 78 to 84 points c. 72 to 86 points d. 78 to 86 points

S.ID.5, 6, 7, 8, 9: Summarize, Represent, and Interpret Data on Two Categorical and Quantitative Variables; Interpret Linear Models
192. Use the table below to answer the questions:

a) Which hobby do men and women prefer most?

dance
b) What percent of those surveyed like TV?
32%
c) What percent of those surveyed are women who like sports?
12%
d) What percent of women like to dance?
53%
Create a conditional frequency table from the table above (convert to decimals!)
from left to right, top to bottom: 0.04, 0.2, 0.16, 0.4, 0.32, 0.12, 0.16, 0.6, 0.36, 0.32, 0.32, 1
193. The table below shows the relationship between age and support for minimum wage. a) Are most people for, against, or no opinion?

for
b) What percent of those surveyed are against minimum wage?
35%
c) What percent of the 21-40 age group have no opinion?
10%
d) What percent of those surveyed are over 60 and in support of minimum wage? 27.5%
Create a conditional frequency table from the table above. from left to right, top to bottom: 0.125, 0.1, 0.025, 0.25, 0.1, 0.175, 0.1, 0.375, 0.275, 0.075, 0.025, 0.375, 0.5, 0.35, 0.15, 1

194. For each of the scatter plots, decide of a linear or exponential model would be best.    linear exponential exponential linear

195. Given the table, calculate the linear regression line for the data. Determine if it has a negative or positive correlation. Is the correlation weak or strong?

Then, calculate the residuals and make a residual plot to determine the fit of the line. y = 0.68x + 0.11, r = 0.97, strong positive correlation

residuals: -.11, -.29, .33, .35, .07, -.31  residual plot shows it’s an okay fit y = -0.74x + 8.3, r = -.99, strong negative

residuals: -.204, -.312, -.02, -.006, .23, .218, .354, .216, -.318, -.548  residual plot shows bad fit
196. Given the scatter plot below, calculate the line of best fit for the data (using a calculator).

Then, calculate the correlation coefficient and determine if it is positive or negative and strong or weak.

Then, calculate the residuals and make a residual plot to determine the fit of the line. y = 0.5x + 3.1, r = 0.8, strong positive correlation

residuals: -.8, .1, 1.0, -1.8, -.3, 1.1, -.1, -.4, 1.8, -2.3, -0.1  residual plot shows okay fit

197. Identify whether the following residual plots are good or bad predictors for regression lines.   good fit good fit bad fit  198. How would you describe the correlation of the two variables based on the scatter plots shown below? (strong, weak, no correlation, negative, positive) 