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.

step-by-step explanation:

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2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

there are infinitely many solutions.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72