The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
2 answers:
Answer:
Step-by-step explanation:
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall. (correct)
The median height of the students in Mrs. Hill's class is 152 centimeters. (correct)
The interquartile range of this data set is 15 centimeters. (incorrect, 154-147=17 cm)
The mean height of the students in Mrs. Hill's class is 152.5 centimeters. (we don't get to know the mean height from the graph).
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Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3