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JAMB Economics 2010 Paper
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© africaexams.com
Question : 48
Total: 49
if
x
‾
\overline{x}
x
= 6 and N = 6, determine the value of ∑fx
36
12
1
72
Validate
Solution:
Concept:
The mean
x
‾
\overline{x}
x
is the sum of all values
∑
f
x
\sum fx
∑
f
x
divided by the number of values
N
N
N
.
Explanation:
The formula is
x
‾
=
∑
f
x
N
\overline{x} = \frac{\sum fx}{N}
x
=
N
∑
f
x
.
Rearranging,
∑
f
x
=
x
‾
×
N
\sum fx = \overline{x} \times N
∑
f
x
=
x
×
N
.
Given
x
‾
=
6
\overline{x} = 6
x
=
6
and
N
=
6
N = 6
N
=
6
, substitute into the formula:
∑
f
x
=
6
×
6
=
36
\sum fx = 6 \times 6 = 36
∑
f
x
=
6
×
6
=
36
.
Answer:
∑
f
x
=
36
\sum fx = 36
∑
f
x
=
36
.
The correct option is A.
© africaexams.com
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