Probability & Statistics

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The Mean

The mean is the most common form of average, which is used to find the typical value in the dataset.

The mean is the most common type of average used when analysing data. The mean finds the typical value within a set of data.

The mean finds the typical value in a dataset

It can be calculated by dividing the sum of the data by the total frequency.

Let's look at an example! Here is a set of data which describes the daily peak temperature across a week in Hawaii. $27 \degree C, 31 \degree C, 34 \degree C, 29 \degree C, 25.5 \degree C, 27.4 \degree C, 31 \degree C$

What is the sum of all the numbers together?

How many values are there in the set?

Now we can find the mean!

$\dfrac{204.9}{7}=29.2714...$

Nice! 🌞🌞

The typical peak temperature in the week was $29.3 \degree C$

Here is a set of data collected on the weight of some students: $62 kg, \space 80 kg, \space65 kg, \space58 kg, \space63 kg, \space71 kg, \space74 kg, \space62 kg$

What is the sum of all the numbers?

How many numbers are there?

Good work!

The sum of the numbers is $535$ and there are $8$ numbers

Find the mean to 3 significant figures

Awesome!

The typical weight of the students is $66.9kg$

Here is a list of numbers, calculate the mean. $1, 2, 3, 5, 8, 11$