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Sagot :
The values where about 95% of the data fall is between $135,000 and $175,000.
The percentage of new homes priced between $135,000 and $165,000 is 81.5%.
How to illustrate the information?
By the Empirical Rule, 95% of the values fall within 2 standard deviations of the mean.
Therefore,
155000 - (2 × 10000) = 135,000
155000 + (2 × 10000) = 175,000
Therefore, 95% of the data falls between $135,000 and $175,000.
b. By the empirical rule, 47.5% of the measures are between 2 standard deviations which are below the mean
Also, $165,000 is one standard deviation above the mean. By the empirical rule, 34% of the measures are between the mean and 1 standard deviations above the mean.
Therefore, 47.5% + 34% = 81.5% of new homes priced between $135,000 and $165,000.
Learn more about percentages on:
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The mean price for new homes from a sample of houses is $155,000 with a standard deviation of $10,000. Assume that the data set has a symmetric and bell-shaped distribution.
(a) Between what two values do about 95% of the data fall?
(b) Estimate the percentage of new homes priced between $135,000 and $165,000?
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