Question

The marks obtained (out of 50) by 30 students of a class are given below:
26, 12, 18, 47, 35, 46, 28, 46, 24, 35, 45, 32, 16, 24, 21, 22, 31,9, 26, 11, 45, 46, 16, 19, 37. 40, 45.21.48,29
a) Construct a frequency distribution table for the data using equal class interval.
b) Find the percentage of students who scores more than 45 marks.​

Answer 1

Answer:

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Answer 2

Given:

The marks obtained (out of 50) by 30 students of a class are given below:

$26, 12, 18, 47, 35, 46, 28, 46, 24, 35, 45, 32, 16, 24, 21, 22, 31,9, 26, 11, 45, 46, 16, 19, 37. 40, 45,21,48,29$

Part a)

The frequency distribution table for the given data is as shown in the image below:

Part b)

Observe the frequency distribution table that there are only 5 students that have scored more than 45 marks.

Find the percentage of students who score more than 45 marks.​

Percentage$\[ = \frac{5}{{30}} \times 100\]$

                  $\[\begin{array}{l} = \frac{{50}}{3}\\ = 16.66\% \end{array}\]$

Hence, the percentage of students who score more than 45 marks is 16.66%.