Continuous Random Variable
Interactive practice questions
The data given shows the heights of a group of $16$16 year-olds to the nearest cm.
| Heights (cm) |
|---|
| $148,161,154,160,150,153,155,158,156,168,147,157,153,165,148,162,164,163,154,154$148,161,154,160,150,153,155,158,156,168,147,157,153,165,148,162,164,163,154,154 |
Complete the following relative frequency table
| Height | Frequency | Relative Frequency |
|---|---|---|
| $145\le h<150$145≤h<150 | $\editable{}$ | $\editable{}$ |
| $150\le h<155$150≤h<155 | $\editable{}$ | $\editable{}$ |
| $155\le h<160$155≤h<160 | $\editable{}$ | $\editable{}$ |
| $160\le h<165$160≤h<165 | $\editable{}$ | $\editable{}$ |
| $165\le h<170$165≤h<170 | $\editable{}$ | $\editable{}$ |
| $170\le h<175$170≤h<175 | $\editable{}$ | $\editable{}$ |
Use the table from part (a) to make a relative frequency histogram.
Use your relative frequencies to calculate the probability of a student being between $155$155 and $159$159 cm tall, inclusive.
Use your relative frequencies to calculate the probability of a student being less than $155$155 cm.
The data below shows the time spent waiting for a green light at a set of traffic lights, in seconds.
The IQ test results for $50$50 people aged $30$30 is represented by the relative frequency histogram below.
The average time ($t$t), in seconds, between $50$50 customers filling up their cars at a petrol station on a Monday morning between $8$8am and $10$10am is given in the relative frequency histogram below.