16 Cumulative Frequency Worksheet Page 8
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27MEP Y9 Practice Book B
Frequency
36
32
28
24
20
16
12
8
4
0
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
Guess (kg)
(b)
The mean can be estimated by assuming that all the values in a class are
equal to the midpoint of the class.
×
Class
Midpoint
Frequency
Frequency
Midpoint
≤ <
×
=
0 45
.
G
0 75
.
0.6
5
5
0 6
.
3
≤ <
×
=
0 75
.
G
1 05
.
0.9
32
32
0 9
.
28 8
.
≤ <
×
=
1 05
.
G
1 35
.
1.2
26
26
1 2
.
31 2
.
≤ <
×
=
1 35
.
G
1 65
.
1.5
11
11
1 5
.
16 5
.
≤ <
×
=
1 65
.
G
1 95
.
1.8
6
6
1 8
.
10 8
.
TOTALS
80
90.3
90 3
.
=
=
Estimate of mean
1.12875 kg
80
=
1.1 kg
to 2 significant figures
(c)
The modal class is the one with the highest frequency. In this case, the
modal class has nominal description '0.8 - 1.0 kg', which means guesses in
≤
<
≤
<
the interval
0 75
.
kg
G
1 05
.
kg
, i.e.
750
grams
G
1050
grams
.
175
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