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Here is a list of numbers - OCR - GCSE Maths - Question 4 - 2021 - Paper 1

Question 4

Here is a list of numbers. 6 9 2 3 9 1 (a) Work out the range of the numbers. (b) Work out the mean of the numbers.

Worked Solution & Example Answer:Here is a list of numbers - OCR - GCSE Maths - Question 4 - 2021 - Paper 1

Step 1

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Answer

To find the range of a set of numbers, you need to subtract the smallest number from the largest number in the list.

Identify the smallest number: The smallest number in the list (6, 9, 2, 3, 9, 1) is 1.
Identify the largest number: The largest number in the list is 9.

Now, calculate the range:

$\text{Range} = \text{Largest number} - \text{Smallest number} = 9 - 1 = 8$

Thus, the range of the numbers is 8.

Step 2

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Answer

To calculate the mean (average) of the numbers, follow these steps:

Sum all the numbers in the list:

$6 + 9 + 2 + 3 + 9 + 1 = 30$
Count the quantity of numbers: There are 6 numbers in total.
Divide the total sum by the quantity of numbers:

$\text{Mean} = \frac{30}{6} = 5$

Therefore, the mean of the numbers is 5.

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