The following table shows the number of hours some students in two neighborhoods spend on social media each day:
1 answer:
The box plot is not symmetrical for either data set.
<h3>What is Quartile?</h3>Quartiles divide the data values into four parts; the first quartile is the 25th percentile, the second quartile is the 50th percentile (also the median), and the third quartile is the 75th percentile.
Firstly, order the two data set from smallest to largest as shown in diagram below
The value of median, Q2 is the 5th value of both set
The value of Q1 and Q3 is the first and third quarter of the set
The range of data set one is 5-2=3 and of set two is 12-1=11
The interquartile range of set one is 5 - 2 = 3
The interquartile range of set two is 5 - 1.5 = 3.5
Thus, the box plot is not symmetrical for either data set.
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<h3>Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)