4. The marks, \(x\) out of 100 , scored by 30 candidates in an examination were as follows:
| 5 | 19 | 20 | 21 | 23 | 25 | 31 | 37 | 39 | 41 |
| 42 | 44 | 47 | 51 | 56 | 57 | 60 | 61 | 62 | 65 |
| 67 | 70 | 71 | 73 | 75 | 77 | 81 | 82 | 98 | 100 |
Given that \(\sum x = 1600\) and \(\sum x ^ { 2 } = 102400\),
- find the median, the mean and the standard deviation of these marks.
The marks were scaled to give modified scores, \(y\), using the formula \(y = \frac { 4 x } { 5 } + 20\).
- Find the median, the mean and the standard deviation of the modified scores.
\section*{STATISTICS 1 (A) TEST PAPER 1 Page 2}