The desired measures for the data-set is given by:
<h3>How to find the five number summary and interquartile range of the data-set?</h3>
The five number summary is composed by the measures explained below, except the IQR.
- The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference of the third quartile and the first quartile.
In this problem, we have that:
- The minimum value is the smallest value, of 48.
- The maximum value is the smallest value, of 80.
- The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.
- The first quartile is the median of the five elements of the first half, hence it is of 54.
- The third quartile is the median of the five elements of the second half, hence it is of 74.
- The IQR is the difference between the quartiles, hence 74 - 54 = 20.
More can be learned about five number summaries at brainly.com/question/17110151
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Answer:
Mean: 17
Median: 16
Mode: 10
Step-by-step explanation:
8, 10, 10, 11, 16, 17, 19, 21, 41
Median: (the middle number in the number list/data set) 16
Mode: 10
Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17
I assume you want the equation to be solved, so this is a quadratic simultaneous equation.
y = x^2-x-3 ——— (1)
y = -3x+5 ——— (2)
Sub (1) into (2)
(This is the first three steps provided)
x^2-x-3 = -3x+5
0 = x^2+2x-8
0 = (x-2)(x+4) ——— (3)
Solve for x in (3):
x-2 = 0
x = 2
x+4 = 0
x = -4
Sub x into (2)
y = -3(2) + 5
y = -1
y = -3(-4) + 5
y = 17
Hence the solution sets are:
x=2, y=-1
x=-4, y=17
I think the answer is 4.09
Answer:
m∠W = 130
Step-by-step explanation:
The measure of angle W is equal to the sum of angle X and Y
55 + 75 = 130
