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:
<u>Correct answer:</u> 3
Step-by-step explanation:
I'm sorry you're going through all of that. I'm more than happy to help you figure out the correct solution for the given problem.
(5 × 3) ÷ [ 4 - 3 + (3 - 1)² ]
Following the PEMDAS Order of operations:
We must work with the numbers inside the parenthesis by multiplying (5 × 3) and subtracting (3 - 1):
= (15) ÷ [ 4 - 3 + (2)² ]
Next, you'll have to process the exponent by squaring 2:
= 15 ÷ (4 - 3 + 4 )
Then, work on the remaining terms inside the parenthesis, by subtrating 3 from 4, and adding 4:
= 15 ÷ (1 + 4)
= 15 ÷ (5)
Lastly, divide 15 by 5, which gives you the final answer, 3.
= 15 ÷ (5)
= 3
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4 1/2 = 9/2
hope it helped