A survey was conducted by the market research department of the National Real Estate Company among 500 prospective buyers in a large metropolitan area to determine the maximum price a prospective buyer would be willing to pay for a house. From the data collected, the distribution that follows was obtained. Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer. Maximum Price Considered, x 150 160 170 180 190 220 250 270 320 Oo=$1,783, 240,000 O σ= $42,163 Oσ= $42, 228 Oσ=$212, 600 O = $46,711 P(X=x) 10 500 25 500 70 500 80 500 70 500 85 500 85 500 55 500

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A survey was conducted by the market research department of the National Real Estate Company among 500 prospective buyers in a large metropolitan area to determine the maximum price a prospective buyer would be willing to pay for a house. From the data collected, the distribution that follows was obtained.

Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer.

### Table of Maximum Price Considered

| Maximum Price Considered, \( x \) | \( P(X = x) \)  |
|------------------------------------|------------------|
| 150                                | \(\frac{10}{500}\) |
| 160                                | \(\frac{25}{500}\) |
| 170                                | \(\frac{70}{500}\) |
| 180                                | \(\frac{80}{500}\) |
| 190                                | \(\frac{70}{500}\) |
| 220                                | \(\frac{85}{500}\) |
| 250                                | \(\frac{85}{500}\) |
| 270                                | \(\frac{35}{500}\) |
| 320                                | \(\frac{20}{500}\) |

### Options for Standard Deviation

- \( \sigma = \$1,783,240,000 \)
- \( \sigma = \$42,163 \)
- \( \sigma = \$42,228 \)
- \( \sigma = \$12,600 \)
- \( \sigma = \$46,711 \)
Transcribed Image Text:A survey was conducted by the market research department of the National Real Estate Company among 500 prospective buyers in a large metropolitan area to determine the maximum price a prospective buyer would be willing to pay for a house. From the data collected, the distribution that follows was obtained. Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer. ### Table of Maximum Price Considered | Maximum Price Considered, \( x \) | \( P(X = x) \) | |------------------------------------|------------------| | 150 | \(\frac{10}{500}\) | | 160 | \(\frac{25}{500}\) | | 170 | \(\frac{70}{500}\) | | 180 | \(\frac{80}{500}\) | | 190 | \(\frac{70}{500}\) | | 220 | \(\frac{85}{500}\) | | 250 | \(\frac{85}{500}\) | | 270 | \(\frac{35}{500}\) | | 320 | \(\frac{20}{500}\) | ### Options for Standard Deviation - \( \sigma = \$1,783,240,000 \) - \( \sigma = \$42,163 \) - \( \sigma = \$42,228 \) - \( \sigma = \$12,600 \) - \( \sigma = \$46,711 \)
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