Answer:
disagree
Step-by-step explanation:
The interquartile range is a measure of how spread out values are in a data set.
It doesn't actually consider the values, it is found by finding the range between the Q1 / 25th percentile and the Q3 / 75th percentile --and a "range" is found by finding the difference between these two numbers (by subtracting).
So, the weather could have been something like:
79 79 79 80 81 81 83 85 96 97
79 79 79 80 81 | 81 83 85 96 97
meaning that the interquartile range is 6, but these temperatures are not low
(if you want me to explain how to find the interquartile range more thoroughly, please let me know)
See attachment for the answer.
Answer:
- d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.
Step-by-step explanation:
- Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?
{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)
- a. Mateo scored a 55% on his exam.
- b. Mateo scored as well as or better than 55% of his classmates, with a score of 78.
- c. Mateo scored worse than 55% of his classmates, with a score of 78.
- d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.
- e. Mateo scored worse than 55% of his classmates, with a score of 82.
<h3>Solution</h3>
There are scores of 20 students. Each score is equivalent of 100%/20 = 5%
The easy way to understand Mateo' s place is to compare scores against 5% slots.
<em>See attached.</em>
We can also get the average score
<u>Sum </u>
- ∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556
<u>Average or mean score:</u>
This is matching the 50% score.
As we see Mateo scored 82 which is matching 55%.
Correct option is d.
The number of student tickets, we will represent with the variable, s.
The number of adult tickets, we will represent with the variable, a.
Now we convert the next sentence to an mathematical statement, and since student tickets are $5 and adult tickets are $8, we get:
$2065 = $5 * s + $8 * a
Now, the last sentence of the problem:
62 + a = s
Now we have two variables and two equations so we can solve the problem.
Substitute (62 + a) for s in the top equation
$2065 = $5 * (62 + a) + $8 * a
$2065 = $310 + $5 *a + $8 *a
$2065 - $310 = $13 *a
$1755 = $13 * a
a = 135
Now to find s, we use the bottom equation,
s = 62 + a = 62 + 135 = 197