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DIA [1.3K]
3 years ago
13

THE AP CALCULUS EXAM SCORES WERE RELEASED IN JULY. THE SECONDARY MATH SPECIALIST PREPARED THE BOX PLOT SHOWN TO PRESENT THE SCOR

ES TO THE SUPERINTENDENT. WHAT'S THE RANGE OF SCORES THAT REPRESENTS THE MIDDLE 50 PERCENT OF THE STUDENTS WHO TOOK THE TEST?
    
  A. 65%–89%
  B. 65%–94%
  C. 81%–89%
  D. 65%–81%

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

Answer : option A

To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile

Inter quartile range is the middle 50% of the given range of scores.

The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%

From the diagram , we can see that

Upper quartile = 89

lower quartile = 65

So range is 65%  to 89%

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A = 133; b = 31; c = 82; d = 64.
Opposite angles in an inscribed quadrilateral are supplementary; this means that d + 116 = 180.  Subtracting 116 from both sides, we have d = 64.

By the same theorem, c + 98 = 180; subtracting 98 from both sides, we have c = 82.

Inscribed angles are equal to 1/2 the measure of the intercepted arc.  Using this, we have

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