how does the lower quartile of the data compare to the least value of the set.

Question

99
88
59
68
57
38
34
25
29
28

i put there is a 12.5 difference between the lower quartile and the lowest value of the set...my teacher marked it wrong and i don't understand why

Answer 1

I have to order them first:
25,28,29,34,38,57,59,68,88,99 ten values. Now, you have to understand that there is no universal agreement on how to get quartile values.
In this case, the median divides at 47.5, then quartile 1 ends at 29, quartile 3 at 68. This is the most commonly accepted manner of making the quartile divisions. Your teacher may have another method. THERE IS NOT UNIVERSAL AGREEMENT on this.

So the answer to the question is 29-24, or 5, at least here in Texas.

Answer 2

I am somewhat bothered why you "dont understand why it was marked wrong". I assume you asked your teacher. If you did not get an answer, you should have your parents discuss that with your teacher. If you did not ask the teacher, duh.

Answer 3

i did ask my teacher but she would not tell me or explain...my school is weird