Question

A survey of 200 middle school students revealed the 200 students have a median weekly allowance of $10.75, and 35 percent of them received no allowance at all. Which statement is a definite conclusion from the information provided?

A) All 200 middle school students receive a weekly allowance.
B) The median weekly allowance for the 200 students is exactly $10.75.
C) 35 percent of the middle school students received no allowance.
D) The average weekly allowance for the 200 students is $10.75.

Answer 1

The definite conclusion from the given information is that the average weekly allowance for the 200 middle school students is $10.75.

Step-by-step explanation:

To determine which statement is a definite conclusion from the given information, we need to analyze the data provided. We are told that a survey of 200 middle school students revealed that the median weekly allowance is $10.75, and 35% of them received no allowance at all. From this information, we can conclude that the statement D) The average weekly allowance for the 200 students is $10.75 is correct.

The median is the middle value in a set of data when the values are arranged in ascending order. In this case, since the median weekly allowance is $10.75, we know that half of the students receive more than $10.75 and half receive less. Therefore, the average weekly allowance must also be $10.75 (since the median and the average are the same in this case).

Additionally, since 35% of the students received no allowance, this information further supports the conclusion that the average weekly allowance is $10.75, as those who received no allowance would bring down the average if it were higher.