MAT135 Introduction to Statistics and Data Analysis

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 an 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

30 pts.

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").

20 pts.

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?