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Score 0 - 4 5 - 9 10 - 14 Frequency 2 1 2 The...

Mathematics
WAEC 2015

Score 0 - 4 5 - 9 10 - 14
Frequency 2 1 2

The table shows the distribution of the scores of some students in a test. Calculate the mean scores.

  • A. 5.6
  • B. 6.2
  • C. 6.6
  • D. 7.0
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Correct Answer: Option D
Explanation

To calculate the mean of grouped data,

- First step  to determine the midpoint (x) of each interval or class.

0 - 4 ►2

5 - 9  ► 7

 10 - 14  ►12

These midpoints must then be multiplied by the frequencies of the corresponding classes:

2 X 2 = 4 

1 X 7 = 7

2 X 12 = 24

Mean = ( 24 + 7 + 4) ÷ ( 2 + 1 + 2 )

: Mean = 7


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