Frequency tables for OCR GCSE Maths
This page covers the following topics:
1. Recording data in tables
2. Describing data in tables
3. Analysing the frequency of outcomes from tables
When data is first collected experimentally, it is a list of values. The frequency of each value can be counted up and placed into a frequency table. When there is a lot of experimental data, to avoid having too many rows on a frequency table, the data can be grouped and thus counted up.
Frequency tables can be used to interpret and describe trends and results concluded from an experiment.
Frequency tables can be used to calculate the probability of getting specific outcomes. To calculate the probability of an outcome, its frequency is divided by the total sum of the frequencies of all outcomes.
A bank is conducting a survey to gather data about the ages of its staff. Given that the bank has a total of 200 employees and 35 of them are under the age of 30, calculate the probability that an employee of the bank is under the age of 30.
Probability = 35/200 = 0.175.
A frequency table is given to describe the masses of a group of 15 dogs in kilograms. Describe the conclusions that can be drawn from this experiment.
Most of the dogs included in the experiment weighed under 10 kg, with 7 of the dogs being in this group. The next most frequent group was the one with masses between 10 kg and 20 kg with 6 dogs. The least frequent group was the one with masses between 20 kg and 30 kg with 2 dogs.
Describe what a frequency table is.
A frequency table is a table in which experimental data goes and states the frequency of each value.
The favourite colours of ten students were recorded: yellow, red, green, green, blue, yellow, red, purple, red, blue. Draw a frequency table to represent this data.
A biased coin is flipped 20 times. The frequency of getting a heads and a tails is recorded and provided below. Calculate the probability of getting a tails.
Probability = 6/20 = 0.3.
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