Question

After conducting a survey of all his classmates, Luke discovers that the amount of money everyone spends buying snacks each month has a mean of $38. What does the mean say about the amount his classmates spend on snacks?

Answer 1

If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.

Step-by-step explanation:

Mean is a measure of central tendency, that is it is used to measure how a range of values are centrally related.

The mean is calculated by taking the average of a range of values. The mean expresses a characteristic that is shared by a particular population.

Mean is represented mathematically as

Mean= Sum of items ÷ number of items

So the mean amount spent on snacks is a levelled value of what Luke's classmates spend.

Answer 2

Answer: The options are given below:

A. Half of his classmates spend exactly $38 per month buying snacks.

B. If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.

C. The majority of his classmates spend $38 per month buying snacks.

D. Half of his classmates spend more than $38 per month buying snacks

The correct option is B.

Explanation: Mean can be defined as the sum of all the observations in a sample, divided by the total number of observations. Mathematically, it is expressed as:

Mean = sum of observations / total number of observations

From the question above, we have:

Amount of money everyone spends buying snacks each month is equal to a mean of $38.

What this means is that the average amount of money spent by everyone is equal to $38.

Therefore, If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.

So, we can conclude by saying, if one classmate paid above $38, and another paid below $38, it will be nullified by leveling the amount paid by all the classmates while calculating the mean.