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Ahat [919]
4 years ago
8

The frequency distribution shows the lengths, in inches, of available baseball bat at a batting cage. what is the mean of the fr

equency distribution?
Baseball bat length| 27 28 31 33 34
F| 2 5 3 1 4
Mathematics
1 answer:
ivanzaharov [21]4 years ago
6 0
The mean of a frequency distribution is given by
<span>
\bar{x}= \frac{\Sigma fx}{\Sigma f} \\  \\  = \frac{(27\times2)+(28\times5)+(31\times3)+(33\times1)+(34\times4)}{2+5+3+1+4} \\  \\  = \frac{54+140+93+33+136}{15} = \frac{456}{15} =30.4</span>
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Part (a)

The length is supposed to be 22.2 cm, but it could be 0.3 cm less

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The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.

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Use this for the width as well

The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm

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<h3>Answers:</h3>
  • smallest length = 21.9 cm
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Part (b)

Use the smallest length and width to get the smallest possible area

smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23

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Repeat the same idea but for the largest length and width to get the largest possible area

largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75

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<h3>Answers:</h3>
  • smallest area = 256.23 square cm
  • largest area = 276.75 square cm
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