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?

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

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: 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.