The number of people watching a football match is 30000, correct to the nearest thousand - OCR - GCSE Maths - Question 17 - 2023 - Paper 3

The number of people watching the rugby match is given as 30500, correct to the nearest hundred.

To find the range of possible values for this figure, we calculate:

Lower bound:

$30500 - 50 = 30450$

Upper bound:

$30500 + 50 = 30550$

Therefore, the range of people watching the rugby match is:

$30450 \\leq m < 30550$

Now, we will compare this with the football match's interval, which is:

$29500 \\leq n < 30500$

Since the upper limit of the football match (30500) is equal to the lower limit of the rugby match (30450), it can be concluded that

$n < 30500$

Thus, we find that the number of people watching the rugby match can be as low as 30450, which is greater than the lower limit of the football match at 29500. Therefore, it is evident that fewer people could be watching the rugby match than those watching the football match.