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Find the approximate percentage of new homes whose prices are less than $135, 000?

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:

https://brainly.com/question/14672603

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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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