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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I think the answers are Number 1 -2. Number 2. is 2. Number 3. is 4. Number. 4 is 6. And number 5. is 12. I hope this helps :)
The change is -(1/2 + 3/4 + 3/8).
If you add the fractions, you get -(13/8).
(2/5)(x-2)=4x
multily both sides by 5/2 (2/5 times 5/2=10/10=1)
1(x-2)=20x/2
x-2=10x
minus x both sides
-2=9x
divide 9
-2/9=x