Question

1. the number of knives sold per month by three salespeople for four different months is shown in the given graph. based on the graph, which of the following is a true statement?

a. the average number of knives sold by the three salespeople in december was greater than the average number of knives sold by the three salespeople in september.
b. the average number of knives sold by the three salespeople in september was 60 knives.
c. the average number of knives sold by the three salespeople in october was 50 knives.
d. the average number of knives sold by the three salespeople in november was greater than the average number of knives sold by the three salespeople in october.

Explanation:

Step1: Calculate average for September

The number of knives sold by Grace, Tom and Joey in September are \(40\), \(39\), \(68\) respectively.
The average \(=\frac{40 + 39+68}{3}=\frac{147}{3}=49\)

Step2: Calculate average for October

The number of knives sold by Grace, Tom and Joey in October are \(15\), \(57\), \(35\) respectively.
The average \(=\frac{15 + 57+35}{3}=\frac{107}{3}\approx35.67\)

Step3: Calculate average for November

The number of knives sold by Grace, Tom and Joey in November are \(23\), \(44\), \(32\) respectively.
The average \(=\frac{23+44 + 32}{3}=\frac{99}{3}=33\)

Step4: Calculate average for December

The number of knives sold by Grace, Tom and Joey in December are \(44\), \(56\), \(68\) respectively.
The average \(=\frac{44+56 + 68}{3}=\frac{168}{3}=56\)

Answer:

D. The average number of knives sold by the three salespeople in December was greater than the average number of knives sold by the three salespeople in October.