13.02 Displaying data

Bill asks nine of his friends which pet they would like and writes down their responses below:

Dog, Fish, Cat, Cat, Fish, Dog, Fish, Fish, Dog

Construct a frequency table for these responses.

Fifteen airline passengers weigh their luggage. The weights in kilograms are listed below:

17, 20, 19, 19, 20, 21, 20, 22, 20, 19, 17, 16, 20, 20, 16

Find the mode(s) of the following sets of scores:

Explain how to find the mode(s) of the following set of scores.

Yvonne asks a number of her friends what their favourite colour is, and writes down their reponses below:

Blue, Pink, Blue, Yellow, Green, Pink, Pink, Yellow,

Green, Blue, Yellow, Pink, Yellow, Pink, Pink

A group of 30 people was surveyed about how many video games they had played in the past month. The results are shown in the given table:

A tree farmer measured the height of newly planted saplings to the nearest centimetre. The results are shown below:

16, \, 17, \, 27, \, 36, \, 16, \, 27, \, 22, \, 37, \, 17, \, 17, \\\\ 26, \, 22, \, 37, \, 27, \, 22, \, 21, \, 26, \, 27, \, 37, \, 31, \\\\ 27, \, 37, \, 27, \, 21, \, 22, \, 32, \, 32, \, 36, \, 17, \, 32, \\\\ 31, \, 37, \, 27, \, 26, \, 37, \, 32, \, 36, \, 27, \, 26

A group of high school students wanted to convince their principal that the school needed airconditioning. They measured the temperature (in \degree \text{C}) in a classroom at 1 pm every day during February and recorded the following results:

35, \, 26, \, 32, \, 29, \, 29, \, 32, \, 26, \, 29, \, 35, \, 23, \, 23, \, 32, \, 35, \, 26, \\\\ 26, \, 23, \, 26, \, 29, \, 32, \, 35, \, 23, \, 26, \, 29, \, 29, \, 29, \, 32, \, 23, \, 29

Neil tracks how many views his website receives each week for ten weeks. The results are given in the following table:

Construct a frequency table for this data set by grouping the data into sets of twenty, with the first group being 600-619.

Consider the data below:

48, \, 31, \, 85, \, 46, \, 56, \, 33, \, 66, \, 48, \, 86, \, 74, \, 64, \, 63, \, 50, \\\\ 52, \, 62, \, 67, \, 33, \, 66, \, 81, \, 40, \, 58, \, 63, \, 68, \, 58, \, 78

Construct a frequency table for this data by grouping the data into sets of ten, with the first group being 30-39.

A PE teacher asked her students to do as many push-ups as they could, and recorded the number of push-ups each student completed below:

38, \, 31, \, 12, \, 14, \, 29, \, 7, \, 21, \, 19, \, 46, \, 13, \, 23, \, 3, \, 13, \, 17, \, 4, \, 6, \, 11, \, 24, \, 5, \, 20

A group of people were surveyed on the number of websites they visit on a daily basis. The results are displayed in the given line plot:

Complete the frequency table based on the line plot:

Number of websites visited daily	Frequency
0
1
2
3
4
5
6

Each judge on a cooking show gives contestants a rating between 1 and 5. The line plot shows the scores given to the winning contestant:

a

How many judges gave the contestant a rating of 4?

b

How many judges gave the contestant a rating of 4 or more?

c

How many judges gave the contestant a rating of 2 or less?

A group of concert attendees are asked: "How old are you?". The responses were:

In a study, a group of people were shown 30 names, and after one minute they were asked to list the names they could remember. The results are presented in the line plot:

a

How many people took part in the study?

b

What is the highest number of names someone remembered?

c

What was the lowest number of names someone remembered?

Aviation glass is manufactured to be 12\text{ mm} thick. If the glass is too thin (less than 11.5\text{ mm}) or too thick (more than 12.5\text{ mm}) the aircraft will fail its glass safety check.

A regional airport conducts a glass safety check of all aircraft landing on their runways over a one month period and displays the results in the line plot below:

a

How many aircraft were checked for glass safety?

b

State the lowest level of glass thickness measured.

c

State the most common glass thickness measured.

d

What percentage of aircrafts failed the glass safety check?

The following line plots display how many seconds it took for students to race from their classroom to their locker:

In each game of the season, a basketball team recorded the number of 'three-point shots' they scored. The results for the season are represented in the following line plot:

a

How many games were played during the season?

b

If the team scored 4 three-point shots in a game, how many points are scored from three-point shots?

c

What was the total number of points scored from three-point shots during the season?

This stem-and-leaf plot records the ages of customers at a beachside cafe last Sunday. Use the stem-and-leaf plot to complete the following frequency table:

An online booking service allows customers to book tickets to see performers in concert. Over the last month the service has been tracking how many tickets are sold in the first five seconds after they become available, and their results are displayed in the given stem-and-leaf plot:

A city council selected a number of houses at random. They determined the fastest travel time (in minutes) from each house to the nearest hospital, and recorded the following results:25, \, 37, \, 16, \, 27, \, 27, \, 35, \, 21, \, 18, \, 19, \, 49, \, 14, \, 19, \, 31, \, 42, \, 18

Represent this data as an ordered stem-and-leaf plot.

The level of mercury in 40 different water samples was tested and recorded in the following stem-and-leaf plot:

A cyclist measured his heart rate immediately after finishing each event in which he competed. The results are recorded in the following stem and leaf plot: