Probability distribution

Can someone explain the answers to this

The mean weight of the 1000 men is 78 kg. The standard deviation (SD) is 9kg.

What weight did 2% of men in this sample weigh less than or equal to?

is there any more context to this question? I would normally (no pun intended) expect there to be an assumption about a normal distribution, then the question is about standardizing the distribution and finding where the standard score is <= 0.02
There’s a table:

Weight. Number of men
45.0 - 50.0 kg. 2
50.1 - 55.0 kg. 6
55.1 - 60.0 kg. 12
60.1 - 65.0 kg. 54
65.1 - 70.0 kg. 101
70.1 - 75.0 kg. 193
75.1 - 80.0 kg. 209
80.1 - 85.0 kg. 212
85.1 - 90.0 kg. 126
90.1 - 95.0 kg. 60
95.1 - 100.0 kg. 15
100.1 - 105.0 kg. 8
105.1 - 110.0 kg. 2
Total. 1000

I can’t use the calculator function from all maths, this is a question from this public health module i’m doing at uni.

Haven’t done maths in a while so i’m confused
Original post by chavvo
is there any more context to this question? I would normally (no pun intended) expect there to be an assumption about a normal distribution, then the question is about standardizing the distribution and finding where the standard score is <= 0.02

Original post by confusedy13
2% of 1000 is 20, so which weight corresponds to 20 people being less than it?
Original post by mqb2766
2% of 1000 is 20, so which weight corresponds to 20 people being less than it?

The answer is 60kg to the nearest whole number tho i just dont know the working out how to get there
Original post by confusedy13
The answer is 60kg to the nearest whole number tho i just dont know the working out how to get there
As in the previous post, 2% of 1000 is 20 people. So count the number of people who weigh less than ...
Original post by confusedy13