11.05 Comparing data sets

The number of goals scored by Team 1 and Team 2 in a football tournament are recorded in the following table:

The table shows the scores of Student A and Student B in 5 separate tests:

The salaries of men and women working the same job at the same company are given below:

A stationery shop kept a weekly record of the number of pens and notebooks sold:

The runs scored by each player in a cricket match are displayed below:

• Team A: \, 63, \, 0, \, 81, \, 22, \, 39, \, 66, \, 9, \,18, \, 3, \, 3, \, 5

• Team B: \, 21, \, 26, \, 18, \, 69, \, 62, \, 26, \, 5, \, 28, \, 2, \, 1, \, 2

In a standardised test out of 100, the students in two classes got the results displayed below:

• Class A: \, 70, \, 64, \, 94, \, 78, \, 79, \, 61, \, 69, \, 93, \, 64, \, 79, \, 64, \, 71, \, 82, \, 68, \, 66

• Class B: \,86, \, 68, \, 51, \, 80, \, 63, \, 87, \, 79, \, 89, \, 62, \, 79, \, 84, \, 77, \, 67, \, 80, \, 75

The monthly rainfall for two cities across a year is displayed below:

• City A: \, 122, \, 120, \, 121, \, 67, \, 79, \, 24, \, 8, \, 46, \, 27, \, 67, \, 80, \, 128

• City B: \, 51, \, 66, \, 33, \, 78, \, 79, \, 92, \, 78, \, 99, \, 41, \, 60, \, 26, \, 56

Marge grows two different types of bean plants. She records the number of beans that she picks from each plant for 10 days. Her records are shown below:

• Plant A: 10,\, 4,\, 4,\, 5,\, 7,\, 10,\, 3,\, 3,\, 9,\, 10

• Plant B: 8,\, 7,\, 5,\, 5,\, 9,\, 7,\, 8,\, 7,\, 5,\, 6

The stem and leaf plot shows the batting scores of two cricket teams, India and Sri Lanka:

The stem and leaf plot shows the test scores of two classes, A and B:

The back to back stem and leaf plot shows the amount of cash (in dollars) carried by a random sample of teenage boys and girls:

The following back to back stem and leaf plot shows the length (in minutes) of a random sample of phone calls made by Sharon and Tricia:

The back to back stem and leaf plot shows the number of desserts ordered at Hotel A and Hotel B over several randomly chosen days:

The median house price in Oklachusetts is \$750\,000 with a mean price of \$800\,000 and the median house price in Brockway is \$750\,000 with a mean price of \$680\,000.

Which town is most likely to have some very expensive houses? Explain your answer.

Two Chemistry classes, each with 15 students, sit a 10-question multiple choice test, each with four possible answers (only one of which is correct). Their class results, out of 10, are below:

• Class 1: \, 3, \, 2, \, 1, \, 1, \, 2, \, 5, \, 2, \, 2, \, 2, \, 3, \, 2, \, 1, \, 5, \, 5, \, 4

• Class 2: \, 10, \, 6, \, 9, \, 8, \, 10, \, 9, \, 7, \, 7, \, 6, \, 8, \, 8, \, 10, \, 8, \, 9, \, 8

The hours of sleep per night for two people over a two week period are shown below:

• Person A: \, 10, \, 9, \, 6, \, 6, \, 7, \, 8, \, 5, \, 6, \, 9, \, 9, \, 7, \, 5, \, 10, \, 9

• Person B: \, 7.5, \, 7.5, \, 8, \, 7.5, \, 7, \, 8, \, 7.5, \, 7, \, 7, \, 7, \, 7, \, 7, \, 8, \, 8

Two Science classes, each with 20 students, were given a 10 question True/False test. The results for each class are shown below:

The ages of employees at two competing fast food restaurants on a Saturday night are recorded. Some statistics are given in the following table:

The beaks of two groups of bird are measured, in millimetres, to determine whether they might be of the same species. The results are presented below:

• Group 1: \, 46, \, 34, \, 35, \, 44, \, 31, \, 37, \, 38, \, 31, \, 40, \, 29

• Group 2: \, 44, \, 41, \, 40, \, 51, \, 52, \, 41, \, 36, \, 51, \, 51, \, 38

The prices of sales at two locations of a shop are recorded in the histograms below:

An online shopping website records the user ratings for two similar products in the histograms below:

The following histograms show the season results of two soccer groups, Group A and Group B, and the number of games (frequency) in which they scored a certain number of goals: