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11.03 Frequency histograms and polygons

Worksheet
Frequency histograms
1

Complete the following frequency tables using the given histograms:

a
ScoreFrequency
2
3
4
5
6
7
b
\text{Score}\text{Frequency}\text{Cumulative} \\ \text{frequency}
3
4
5
6
7
8
c
\text{Score } (x)\text{Frequency } (f)f \times x
3
4
5
6
7
8
2

For each of the following histograms:

i
Find the mode.
ii
Find the median.
iii
Find the mean, correct to one decimal place.
a
b
c
d
3

Consider the frequency histogram:

\text{Score } (x)\text{Frequency } (x)f\times x
2
3
4
5
6
\text{Total}
a

Complete the frequency distribution table.

b

Calculate the mean, correct to one decimal place.

c

Find the range of the data.

d

Find the mode of the data.

4

For each of the following histograms:

i

Calculate the mean, to two decimal places.

ii

Find the mode(s).

a
b
Frequency polygons
5

Complete the following frequency tables using the given frequency polygons:

a
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
ScoreFrequency
3
4
5
6
7
8
b
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
9
\text{Score}\text{Frequency}\text{Cumulative} \\ \text{frequency}
2
3
4
5
6
7
c
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
9
\text{Score } (x)\text{Frequency } (f)f \times x
2
3
4
5
6
7
6

Find the mode for the following data set:

1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
7

Find the median for the following data set:

1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8

Find the mean for the following data set, correct to one decimal place:

1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
9
y
9

Consider the frequency polygon shown:

a

Calculate the mean of the scores, correct to two decimal places.

b
Find the mode.
39
40
41
42
43
x
2
4
6
8
10
12
14
16
18
20
f
10

Consider the following frequency polygon:

a

Calculate the mean.

b

Find the median.

c

Find the mode.

1
2
3
4
5
\text{Score}
1
2
3
4
5
6
7
8
9
\text{Frequency}
Applications
11

A group of families were surveyed on the number of children they have and the results are shown in the column graph:

What is the average number of children in a family from the survey?

Round your answer to one decimal place.

12

Some people were asked approximately how many of their high school friends they remained in contact with after high school. The results are presented in the column graph:

What is the average number of friends that people in the survey remained in contact with?

13

The frequency polygon shows the frequency of calls made during each day of the week:

a

How many calls were made on Friday?

b

What was the maximum number of calls made on a single day?

c

What was the total number of calls made during the week?

d
Find the mean number of calls made during the week.
14

A group of people were asked approximately how many of their high school friends they remained in contact with after high school to the nearest 10 friends. The results are presented in the following frequency polygon:

a

What was the most common response?

b

Find the mean number of people who kept in touch with friends after high school.

Round your answer to the nearest whole number.

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Outcomes

MA4-19SP

collects, represents and interprets single sets of data, using appropriate statistical displays

MA4-20SP

analyses single sets of data using measures of location, and range

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