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2 answers:
Answer:
1. Median of the data set is 25. Therefore the correct option is C.
2. The upper quartile of the data set is 37.5. Therefore the correct option is B.
Step-by-step explanation:
The given data set is
25,8,10,35,5,45,40,30,20
Arrange the data in ascending order.
5,8,10,20,25,30,35,40,45
Median of the data set divides the data into two equal parts. Median is the middle term of the data set.
Divide the data in two equal parts.
(5,8,10,20),25,(30,35,40,45)
Median of the data set is 25. Therefore the correct option is C.
Divide each parenthesis in two equal parts.
(5,8),(10,20),25,(30,35),(40,45)
Upper quartile of the data set divides the data in 3:1.
The upper quartile of the data set is 37.5. Therefore the correct option is B.
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Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>
а.
Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means
that Jamil receives
<em>x/</em>2-5 pencils.
b. Expression of pencils given to Jamil is: <em>x/</em>2-5
Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5
Simplify and evaluate: = 8-5= 3
Maggie gives 3 pencils to Jamil.
c. Expression of pencils given to Jamil is: x/2-5 to
Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total
number of pencils if Jamil received 1 pencil:
<em>x/</em>2 - 5 = 1
Solve for x:
<em>x</em> = 2(1+ 5)
Evaluate:
<em>x</em> = 2(6) = 12
Katie had 12 pencils if Jamil received 1 pencil.
RESULT
a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.
b. Maggie gives 3 pencils to Jamil.
c. Katie had 12 pencils if Jamil received 1 pencil.
