how does the lower quartile of the data compare to the least value of the set.
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
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.
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.
i did ask my teacher but she would not tell me or explain...my school is weird
To determine how the lower quartile (Q1) of the data compares to the least value in the set, we need to first understand what the lower quartile represents.
The lower quartile (Q1) is the median of the lower half of a dataset. It divides the data into two halves: the lower 25% and the upper 75%. In other words, it is the value that separates the lowest 25% of the data from the highest 75% of the data.
To find Q1, we need to arrange the data in ascending order:
25, 28, 29, 34, 38, 57, 59, 68, 88, 99
Since the dataset has 10 values, the position of Q1 is at the (10 + 1) / 4 = 2.75-th value. We can interpolate to find a value between the second and third values:
Q1 ≈ 29 + (34 - 29) * 0.75 ≈ 29 + 5 * 0.75 ≈ 29 + 3.75 ≈ 32.75
So, the lower quartile (Q1) is approximately 32.75.
Now, let's compare Q1 to the least value in the set, which is 25. The difference between Q1 and 25 is:
32.75 - 25 = 7.75
Therefore, there is a difference of 7.75 between the lower quartile (Q1) and the least value in the set, not 12.5 as you initially calculated.
It seems your answer may have been marked wrong due to a calculation error. Confirm your calculations and make sure to double-check your work.