Statistical Data Analysis: School Commute Times
Statistical Data Analysis: School Commute Times
Secondary 4
The table shows the average time taken to travel to school daily by a group of students.
| Time taken (\(t\) min) | Number of students |
|---|---|
| \(10 < t \le 20\) | \(22\) |
| \(20 < t \le 30\) | \(16\) |
| \(30 < t \le 40\) | \(8\) |
| \(40 < t \le 50\) | \(X\) |
| \(50 < t \le 60\) | \(3\) |
| \(60 < t \le 70\) | \(2\) |
Find
- the values of \(X\), \(Y\) and \(Z\) if the cumulative frequency table is given as follow.
| Time (\(t\) min) | Number of students |
|---|---|
| \(\le 20\) | \(22\) |
| \(\le 30\) | \(Y\) |
| \(\le 40\) | \(46\) |
| \(\le 50\) | \(55\) |
| \(\le 60\) | \(58\) |
| \(\le 70\) | \(Z\) |
- the number of students who took more than \(40\) minutes to travel to school daily.
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Answer:(a) \(X=9\), \(Y=38\), \(Z=60\). (b) \(14\) students.
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