University:
Missouri State University
Course:
MTH 343 | Foundations of Probability and Statistics for Teachers
Academic year:

2021
Views:

326

Pages:

2
Author:

Skyla Potter

TOTAL = 21 pts Statistics Ch. 4 & 5 CW Name: ____________________________ Date: __________________ Block:______ Here are the weekly payrolls for two fictitious restaurants. 1. Are there any outliers in the McTofu data set? Show all work. 110 – (1.5*22) = 77 132 + (1.5*22) = 165 3 Yes, there is one outlier at $167. 2. Which pair of summary statistics (center & spread) would be most appropriate for describing the distribution of payrolls for Mooseburgers? Explain why. 2 Mean and std deviation. The data is symmetric with no outliers. 3. Create parallel boxplots. Mooseburgers McTofu $123 $136 $144 $150 $110 $131 $140 $132 $120 $130 $110 $115 $130 $100 $120 $146 $117 $129 $167 $132 $107 Weekly payrolls ($) 3 x                   4. Write a few sentences comparing the two distributions. The distribution of Mooseburgers weekly payrolls is symmetric, while McTofu’s is right skewed. Both are unimodal. 8 The center of Mooseburgers is at the median of $131.5 which is higher than McTofu’s median of $120. The IQR of Mooseburgers is $17, which is narrower than McTofu’s IQR of $22. The range of Mooseburgers is $(110, 150), which is narrower than the range of McTofu at $(100, 167). McTofu has an outlier at $167. 5. All students in a large physical education class completed a basketball free-throw shooting event and the highest number of shots made was 32. The next day the student that threw 32 gets to re-do their turn. They shoot again and get 40. Indicate whether changing the student’s score would make each of these summary statistics increase, decrease, or stay about the same: 2 a. b. c. d. e. mean median range IQR standard deviation _____increase___________ _____same______________ _____increase____________ _____same______________ _____increase____________ 6. The histograms below represent average weekly job income for students in two high school classes. What conclusion is reasonable based on the displays? Note: Both classes have medians in the $200 range. 1 (A) The mean weekly income for class A is higher than for class B. (B) The mean weekly income for class B is higher than for class A. (C) More students in class B earn wages in excess of $250 than in class A. (D) More students in class B have higher paying jobs than in class A. (E) All students in both classes have paying jobs. 7. In a state where young adults can obtain learner’s permits for driving 6 months before their 16th birthdays a random sample of young adults applying for their permits is taken, and their ages in years are 1 recorded. The cumulative proportions are plotted against age, resulting in the following graph. The median and interquartile range for this group of individuals are (A) 16 and 1 year (B) 16 and 1.5 years (C) 16.75 and 1 year (D) 16.75 and 1.5 year (E) 50 and 50 years Which boxplot matches the given frequency histogram? 1