Question

during a 5-day period, a florist served a different number of customers at a flower shop each day. the mean number of daily customers served during this period was 17. in the following month, during another 5-day period, the florist served 16 customers per day for four of the days, but served 25 customers on the fifth day. what is the difference between the mean number of customers the florist served during each of the two five-day periods?

adapted from khan academy.

0
0.8
1.0
2.4

Explanation:

Identify the mean of the first period

The problem states that the mean number of daily customers served during the first 5-day period is:

$$ \mu_1 = 17 $$

Calculate the mean of the second period

Using the Order of Operations to find the sum and then divide by the number of days:

$$ \text{Sum}_2 = (16 \times 4) + 25 = 64 + 25 = 89 $$

$$ \mu_2 = \frac{89}{5} = 17.8 $$

Calculate the difference between the two means

Find the absolute difference between the two calculated means:

$$ \text{Difference} = |\mu_1 - \mu_2| = |17 - 17.8| = 0.8 $$

Answer:

• (A) 0
• (B) 0.8 (Correct answer)
• (C) 1.0
• (D) 2.4