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7.07 Dot plots

Worksheet
Dot plots
1

The given dot plot shows the number of students in each section of the school band:

a

Which section has the least members?

b

Find the number of people in the band.

c

How many more people are there in the Strings section than in the Brass section?

2

The dot plot shows the temperature (\degree C) in a town over a several week period:

Identify the temperature that is an outlier.

3

Consider the following dot plot:

a

Find the total number of scores.

b

Find the median.

c

Find the lower quartile.

d

Find the upper quartile.

e

Find the interquartile range.

4

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

Complete the frequency table based on the dot plot.

Number of websites visited dailyFrequency
0
1
2
3
4
5
6
5

The number of three-pointers scored in a basketball game are shown in the following dot plot:

The mode is 2. If the outlier is removed what is the new mode?

6

The goals scored by a football team in a single season are represented in the dot plot:

a

State the modal number of goals scored.

b

Find the median number of goals scored.

7

The glass windows for an airplane are rolled to a certain thickness, but machine production means there is some variation. The thickness of each pane of glass produced is measured (in millimeters), and the dot plot shows the results:

a

The current median is 11.15. If the outlier is removed what is the new median?

b

The current mean is 11.1. If the outlier is removed what is the new mean? Round your answer to two decimal places.

8

Each judge on a cooking show gives contestants a rating between 1 and 5. The dot 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?

9

A group of adults are asked: "How old were you when you passed your driving test?". The responses were:

22, \, 17, \, 17, \, 17, \, 19, \, 21, \, 17, \, 22, \, 21, \, 18, \, 18, \, 17, \, 18, \, 22, \, 18
a

Plot the responses on a dot plot.

b

Find the following:

i

Range

ii

Mode

iii

Median

c

How many people passed their driving test on or after their 19th birthday?

10

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 dot plot below:

a

How many aircraft were checked for glass safety?

b

State the least level of glass thickness measured.

c

State the modal glass thickness measured.

d

How many aircraft failed the glass safety check?

11

A supermarket manager takes a note every time an employee is late to work, and how late they were (rounded to the nearest half hour). The dot plot below shows their results for the last month:

a

Find the median amount of hours that employees were late by.

b

What fraction of late employees were later than the median amount?

c

If an employee is more than 1 hour late, the manager fines them \$10. How much money did the manager collect in fines over the last month?

12

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

a

State the slowest time recorded.

b

Which teacher's class had the largest range of times?

c

Which teacher's class had the fastest student?

d

Which teacher's class had the slowest median time?

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Outcomes

MA.6.DP.1.4

Given a histogram or line plot within a real-world context, qualitatively describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers and the range.

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