The relative frequency of an event is a measure of how many times that event occurs in a certain number of trials.
For example, out of 100 schoolchildren, 20 might wear glasses. Therefore, the relative frequency of wearing glasses in the school would be , or 0.2.
Josie decides to investigate the number of each colour of jellybeans in a box. Here are her results:
Write down the relative frequency of each colour in the table below.
To find the relative frequency of each colour, divide the number of beans of that colour by the total number of beans tested (94).
Note: All these relative frequencies should add up to 1.
Now we can use these relative frequencies to estimate how many of each colour would be in a larger packet.
Josie buys a larger packet of 200 jellybeans. Estimate the number of each colour jellybean in the packet.
For each colour, we have the relative frequency as calculated previously. This tells us the proportion of each colour as a decimal.
To find the estimated number of each colour, simply multiply the relative frequency by the 200 total jellybeans:
The numbers of each colour of jellybeans add up to 200, confirming the accuracy of the estimates.