22.12 Cumulative frequency tables and graphs (Extended)
Interactive practice questions
A pair of standard six-sided dice are rolled $50$50 times and the numbers appearing on the uppermost face are added to give a score.
What is the lowest possible score when a single pair of dice are rolled?
What is the highest possible score when a single pair of dice are rolled?
The frequency of each score is given in the table. Complete the cumulative frequency values.
| Score ($x$x) | Frequency ($f$f) | Cumulative Frequency ($cf$cf) |
|---|---|---|
| $2$2 | $1$1 | $\editable{}$ |
| $3$3 | $2$2 | $\editable{}$ |
| $4$4 | $5$5 | $\editable{}$ |
| $5$5 | $5$5 | $\editable{}$ |
| $6$6 | $5$5 | $\editable{}$ |
| $7$7 | $9$9 | $\editable{}$ |
| $8$8 | $7$7 | $\editable{}$ |
| $9$9 | $5$5 | $\editable{}$ |
| $10$10 | $8$8 | $\editable{}$ |
| $11$11 | $1$1 | $\editable{}$ |
| $12$12 | $2$2 | $\editable{}$ |
How many times did a score of $8$8 appear?
How many times did a score more than $9$9 appear?
How many times did a score of at most $6$6 appear?
The number of sightings of the Northern Lights were recorded across various Canadian locations over a period of $1$1 month. The numbers below represent the number of sightings at each location.
$12,8,9,8,11,7,7,11,10,9,9,11,7,10,11,7,8,9,11,9$12,8,9,8,11,7,7,11,10,9,9,11,7,10,11,7,8,9,11,9
Use the ogive given to estimate the median score.
This cumulative frequency histogram shows the centre of each class along the bottom axis.