Question

If i have this;

70, 62, 67, 74, 80, 82, 77, 77, 80, 80
and i have a

mean of: 74.9

median of: 77

mode of: 80

what is my 5-number summary written in set notation (as a list of numbers without labels). { , , , , }

Answer 1

Answer: Your answer may be {67, 70, 77, 80, 80}

Explanation:

I am not entirely sure but it's what I got from it.

If you multiply the mean by 5, you are going to get 374.5. So whatever 5-number set notation you pull from the original 10-number set should have a sum that is around 374.5.

So,

67 + 70 + 77 + 80 + 80 = 374

As you can see from the 5-number set, you'll get a:

Mean: 74.8

Median: 77

Mode: 80

The mean isn't the same as what you gave, but I hope it is close enough :')

I am not an expert and this is all based on speculation, though I hope this helps!