Use the scenario to answer the question.(20 Coins) Bryan is asked to find the interquartile range for the data set {5,6,6,8,10,11,14,16,17}.

His work follows.

Step A: Find the median of the data set. The median, or Q2

, is 10.

Step B: Find the value of Q1

, or the median of the lower half of the data set, {5,6,6,8}.

Q1=6+62=6

Step C: Find the value of Q3, or the median of the upper half of the data set, {11,14,16,17}.

Q3=14+162=15

Step D: Find the difference between Q3

and Q1

.

IQR=15−6=9

At which step did Bryan make a mistake, if he made one?

At Step D, he incorrectly found the IQR. He should have found the difference between each quartile to get 10−6=4

and 15−10=5.

At Step C, he incorrectly found the value of Q3

. He should have included 10 to get Q3=14.

At Step B, he incorrectly found the value of Q1

. He should have found the sum of the values and then divided by 4 to get Q1=6.25.

He did not make a mistake.

At Step A, he incorrectly found the value of the median. He should not have included both 6

values, so the median is 10+112=10.5.

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

figure c

step-by-step explanation:

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