The table below shows 10 data values 125 138 132 140 136 136 126 122 135 121 What values of minimum, Q1, median, Q3, and maximum
should be used to make a box plot for this data?
2 answers:
Answer:
The box plot of the given data is shown below.
Step-by-step explanation:
The given data set is
125, 138, 132, 140, 136, 136, 126, 122, 135, 121
Arrange the data in ascending order
121, 122, 125, 126, 132, 135, 136, 136, 138, 140
Divide the data in two equal parts.
(121, 122, 125, 126, 132), (135, 136, 136, 138, 140)
Divide each parenthesis in two equal parts.
(121, 122), 125, (126, 132), (135, 136), 136, (138, 140)
Minimum value = 121
Maximum value = 140
It means the starting point is 121 and end point is 140. Box lie from 125 to 136 and a line inside the box at 133.5.
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Answer:
x = 70°
Step-by-step explanation:
Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.
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Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.
