Question
Erica found the mean of the yearly incomes of a sample of households in her hometown as shown in the chart below. In a report, she stated, “The typical income in my neighborhood is about $81,500 per year.” How is this misleading?
$35,000 $25,000 $28,000 $30,000 $35,000
$225,000 $18,000 $12,000 $25,000 $26,000
$390,500 $16,250 $320,325 $22,000 $29,500
$32,300 $22,200 $18,500 $30,500 $290,000
A. The mean of the data is not about $81,500.
B. Erica’s statement is not misleading.
C. The mean is not a good measure of the incomes because a few higher incomes pull the mean higher than most of the household incomes.
D. The mean is not a good measure of the incomes because the lower incomes pull the mean lower than most household incomes.
$35,000 $25,000 $28,000 $30,000 $35,000
$225,000 $18,000 $12,000 $25,000 $26,000
$390,500 $16,250 $320,325 $22,000 $29,500
$32,300 $22,200 $18,500 $30,500 $290,000
A. The mean of the data is not about $81,500.
B. Erica’s statement is not misleading.
C. The mean is not a good measure of the incomes because a few higher incomes pull the mean higher than most of the household incomes.
D. The mean is not a good measure of the incomes because the lower incomes pull the mean lower than most household incomes.
Answers
C. The mean is not a good measure of the incomes because a few higher incomes pull the mean higher than most of the household incomes.
Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, tagged, and released back into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information, estimate the number of deer in North Carolina.
A. 800
B. 1,200
C. 1,920
D. 6,000
A. 800
B. 1,200
C. 1,920
D. 6,000
C. 1,920
To estimate the number of deer in North Carolina, we can use the formula:
(Number of deer caught and tagged in first sample x Total number of deer in second sample) / Number of tagged deer in second sample = Estimated total number of deer
Plugging in the given values, we get:
(120 x 800) / 16 = 6,000
Therefore, the estimated total number of deer in North Carolina is 6,000.
To estimate the number of deer in North Carolina, we can use the formula:
(Number of deer caught and tagged in first sample x Total number of deer in second sample) / Number of tagged deer in second sample = Estimated total number of deer
Plugging in the given values, we get:
(120 x 800) / 16 = 6,000
Therefore, the estimated total number of deer in North Carolina is 6,000.