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amid [387]
3 years ago
14

Students heights in inches were obtained as part of a study and a frequency distribution was constructed with the first class ha

ving a lower limit of 50 inches. The class widths are 6 inches. What is the frequency of the second class in the distribution? 51 51 54 56 56 57 59 61 61 62 65 69 70 70 71 71 72 73
Mathematics
1 answer:
polet [3.4K]3 years ago
8 0
The frequency of the second class is 6.

Since the class width is 6 and the lower limit of the first class is 50, this means the first class goes from 50-55.  This would put the second class at 56-61.  There are 6 data points in this set that would go in the second class.
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Method 1:

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}

Method 2.

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}
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3 years ago
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3 years ago
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ddd [48]

Answer:

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spin [16.1K]

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