Question

the taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was \\$83.90. later, mrs. taylor discovered that 1 weeks expense of \\$85 was incorrectly recorded as \\$46. what is the correct mean?

the correct mean is \\$ . (round to the nearest cent as needed.)

Explanation:

Calculate the incorrect sum of expenses

$$ \text{Incorrect Sum} = 12 \times \$83.90 = \$1006.80 $$

Adjust the sum for the recording error

$$ \text{Correct Sum} = \$1006.80 - \$46 + \$85 = \$1045.80 $$

Calculate the correct mean

$$ \text{Correct Mean} = \frac{\$1045.80}{12} = \$87.15 $$

Answer:

The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was $83.90. Later, Mrs. Taylor discovered that 1 week's expense of $85 was incorrectly recorded as $46. What is the correct mean?

The correct mean is $<blank>87.15</blank>. (Round to the nearest cent as needed.)