LC MAT135 Module 2 TEST Latest 2022 April

MAT135 Introduction to Statistics and Data Analysis

Module 2 TEST  

Test #2   Online

1.            Look at the following data of high temperatures for 50 days. The highest temperature is 59 and the lowest temperature is 39. If we were to create a simple frequency distribution of this data we would have 21 temperature values. This is greater than 20 values so we should create a grouped frequency distribution.

Data Set - High Temperatures for 50 Days

57           39           52           52           43

50           53           42           58           55

58           50           53           50           49

45           49           51           44           54

49           57           55           59           45

50           45           51           54           58

53           49           52           51           41

52           40           44           49           45

43           47           47           43           51

55           55           46           54           41

If we use this data and follow the suggestions for creation of a grouped frequency distribution, we would create the following grouped frequency distribution. Note that we use an interval size of three so that each class interval includes three score values. Please complete the distribution below.  (50) pts.

Grouped Frequency Distribution for High Temperatures                              

Class Interval     Tally       Frequency          Percentages       Central Angles   Cumulative

Frequency

                //////    6              12%                        6

54-56     ///////  7                                              13

51-53                                     22%                       

                /////////              9                              64.8       

45-47                     7                                             

                //////                                    43.2       

39-41                     4                                             

Totals                                                                   

2.  Distribution of salaries of the ACME Corporation

a.)           What is the approximate number of employees who earn between $33,000 and $43,000 annually?

b.)          There are approximately 2,700 employees of ACME Corporation.  About what percentage of employees earn over $76,999?

c.)           The largest percentage of employees earn between $44,000-$54,000.  Which 2 salary ranges have roughly an equal amount of employees?

2.            The pie chart below shows the ingredients used to make a sausage and mushroom pizza. The fraction of each ingredient by weight is shown in the pie chart below. We see that half of the pizza's weight comes from the crust. The mushrooms make up the smallest amount of the pizza by weight, since the slice corresponding to the mushrooms is smallest. Note that the sum of the decimal sizes of each slice is equal to 1 (the "whole" pizza").   

a.)             Sauce and cheese combine to form what percentage of the pizza?

b.)          What would be the Central Angle for the Cheese portion of the pizza?