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The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to: Frame a frequency distribution table. To calculate mean. To determine the Modal class. - Mathematics

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Question

The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:

  1. Frame a frequency distribution table.
  2. To calculate mean.
  3. To determine the Modal class.

Chart
Sum
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Solution

i.

Class interval Frequency
0 – 10 2
10 – 20 5
20 – 30 8
30 – 40 4
40 – 50 6

ii. 

Class interval Frequency (f) Mean value (x) fx
0 – 10 2 5 10
10 – 20 5 15 75
20 – 30 8 25 200
30 – 40 4 35 140
40 – 50 6 45 270
  `sumf = 25`   `sumf = 695`

∴ Mean = `(sumfx)/(sumf)`

= `695/25`

= 27.8

iii. Here the maximum frequency is 8 which is corresponding to class 20 – 30.

Hence, the modal class is 20 – 30.

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2015-2016 (March)

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