Question

a group of 6 friends shared their weekly allowances: $20, $25, $30, $35, $40, $120. the mean allowance is $45, while the median is $32.50. what can be inferred about their allowances?
most of the friends have allowances close to the mean of $45.
the allowances are uniformly distributed among the friends.
one or more friends receive a significantly smaller allowance than the others.
one or more friends receive a significantly larger allowance than the others.

Explanation:

Step1: Analyze the data

The allowances are $20, $25, $30, $35, $40, $120. The mean is $45 and the median is $32.50.

Step2: Evaluate each option

• Option 1: Most allowances close to $45? The first five are $20 - $40, far from $45. So wrong.
• Option 2: Uniformly distributed? The values are $20,25,30,35,40 (increasing by 5) and then $120 (a big jump). Not uniform. Wrong.
• Option 3: One or more receive smaller? The last value is $120 (larger), others are smaller. But the option says smaller, which is incorrect.
• Option 4: One or more receive larger? $120 is significantly larger than $20 - $40. This matches.

Answer:

One or more friends receive a significantly larger allowance than the others.