1. The following set of data shows the number of cars owned by 40 households in a town:
4, 3, 1, 1, 2, 1, 6, 1, 3, 1, 4, 5, 1, 1, 1, 4, 1, 2, 1, 4, 2, 3, 5, 3, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 4, 3, 2, 1, 2, 1
a. Complete the frequency table below to summarise these numbers and find the mean number of cars owned.
b. Show this distribution on an appropriate graph.
Number of cars (x)
|
Tally
|
frequency (f)
|
f . x
|
1
|
|||
2
|
|||
3
|
|||
4
|
|||
5
|
|||
6
|
|||
Totals
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2. The following frequency table shows the results of an examination (%) of 600 students.
Exam mark
|
Frequency (f)
|
Midpoint |
f . x
|
1 − 20
|
87
|
10.5
|
|
21 − 40
|
324
|
||
41 − 60
|
158
|
||
61 − 80
|
23
|
||
81 -100
|
8
|
||
Totals
|
a. Draw a bar graph to show this data.
b. Find the mean and modal interval.
3 |
The heights of a squad of 20 rugby players are shown below:
a. Complete the grouped frequency table below:
(160 − 170 means greater or equal to 160 and less than 170) b. Draw a histogram to show these heights. c. Find the approximate mean of the heights. d. What is the modal class or interval? e. Complete the cumulative frequency table below and sketch a cumulative frequency graph.
f. Use the cumulative frequency graph to find:
|