A sample of purchases at the local convenience store has resulted in the following sample data, where x = the number of items purchased per customer and f = the number of customers.

x= 1,2,3,4,5
f=8, 20, 8, 8, 7

What does the 20 stand for in the above table?
Find the midrange of items purchased.
How many items were purchased by the customers in this sample?
Please show work!

20 people bought 2 items each.

Midrange looks like 3 for x.

āˆ‘(f*x) = (8*1) + (2*20) +ā€¦. = ?

In the given table, the number 20 represents the frequency (f) or the number of customers who purchased 2 items. It indicates that 20 out of the total number of customers bought exactly 2 items.

To find the midrange of items purchased, follow these steps:

1. Find the minimum and maximum values of x:
Minimum = 1
Maximum = 5

2. Calculate the midrange using the formula:
Midrange = (Minimum + Maximum) / 2

Substituting the values:
Midrange = (1 + 5) / 2 = 6 / 2 = 3

Therefore, the midrange of items purchased is 3.

To determine the total number of items purchased by the customers in this sample, we need to calculate the sum of the products of x and f. Each x value is multiplied by its corresponding frequency (f), and then the products are summed.

Calculations:
(1 * 8) + (2 * 20) + (3 * 8) + (4 * 8) + (5 * 7) =
8 + 40 + 24 + 32 + 35 =
139

Therefore, the customers in this sample purchased a total of 139 items.