Final answer:
To decide which computer prices you could select based on a mean price with a deviation of $75, first calculate the mean of the given prices, then determine the acceptable price range by adding and subtracting $75 from the mean. Based on the listed prices, acceptable choices would be $700, $500, $550, and $600.
Step-by-step explanation:
To determine which computer prices you could select based on your desire to pay a mean price with a deviation of $75, you first need to calculate the mean (average) price of the listed computers. You then use this mean to develop a range of acceptable prices that do not deviate from the average by more than $75. This is done by adding and subtracting $75 from the mean price.
First, calculate the mean price:
- Add up the listed prices: $400 + $700 + $500 + $550 + $1000 + $750 + $800 + $600 = $5300.
- Divide the total by the number of prices to find the mean: $5300 / 8 = $662.50.
Next, calculate the acceptable range of prices:
- Subtract $75 from the mean for the lower end: $662.50 - $75 = $587.50.
- Add $75 to the mean for the upper end: $662.50 + $75 = $737.50.
Your equation for selecting values is then: $587.50 <= x <= $737.50. Any price within this range would be an acceptable choice based on your criteria.
Looking at the list, you would select:
- b. $700
- c. $500
- d. $550
- h. $600
These values are all within the acceptable range of mean price plus or minus $75.