Statistics - Mean and Standard Deviation for Ungrouped Data
Statistics - Mean and Standard Deviation for Ungrouped Data
7 marks
The following table gives the examination grades for \(120\) students.
Grade | Number of students | Cumulative frequency |
|---|---|---|
\(1\) | \(9\) | \(9\) |
\(2\) | \(25\) | \(34\) |
\(3\) | \(35\) | \(p\) |
\(4\) | \(q\) | \(109\) |
\(5\) | \(11\) | \(120\) |
- Find the value of[4]
- \(p\);
- \(q\).
- Find the mean grade.[2]
- Write down the standard deviation.[1]
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Answer:(a)(i) \(p=69\) (ii) \(q=40\) (b) \(\dfrac{379}{120}=3.16\) (c) \(1.09\)
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