Mat 132 Instructor: J. Yeboah-Mensah Review for Test #1 2/20/18 1. Determine whe
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Question
Mat 132 Instructor: J. Yeboah-Mensah Review for Test #1 2/20/18 1. Determine whether the numerical value describes a population parame sample statistic. Explain your reasoning a) er or a A recent survey of approximately 400,000 employers reported average starting for marketing majors is $53,400. b) The freshman class at a university has an average SAT math score of 514 c) in a random check of 400 retail stores, the Food and Drug Administration found that 34% of the stores were not storing fish at the proper temperature. 2. The admissions office wants to estimate the cost of textbooks for students at our college. Let the variable x be the total cost of all textbooks purchased by a student this semester. The plan is to randomly identify100 students and obtain their total textbook costs. The average cost for the 100 students will be used to estimate the average cost for all students a. Describe the parameter the admissions office wishes to estimate. b. Describe the population. c. Describe the variable involved d. Describe the sample. e. Describe the statistic and how you would use the data collected to calculate the statistic 3. The number of points scored by Dwayne Wade in the first 12 games of the 2012- 2013 NBA regular season are listed. 29 15 14 22 22 8 19 6 28 19 34 Find the mean, median, and mode of the data set. Which best represent the center of the data? a) b) Find the range, variance, and standard deviation of the data set, c) Display the data in a stem-and-leaf plot 4. The data set represents the ages of 15 college professors. 46 51 60 58 37 65 40 55 30 68 28 62 56 42 59 a) Find the Range. b) Find the first quartile c) Find the median. o) Find the third quartile. e) Display the data in a box and whisker plot.Explanation / Answer
Arrange the data in ascending order.
6 , 8 , 14 , 15 ,19 , 19 , 22 ,22 ,28 , 29 ,34
a)
mean = 19.636
median is the middle number of data = 19
mode is the repeated number 19 , 22
The median best describes the scores of the team, because the mode is higher than almost all of the scores in the data set.
b) Range = ( largest - smallest) number
= ( 34 - 6) = 28
variance = summation of(x - mean)^2 / n
= 75.054
standard deviation = sqrt(variance)
= 8.66
c) stem and leaf plot
stem leaf 0 6 8 1 4 5 9 9 2 2 2 8 9 3 4