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 5 15 8 8 7

1. What does the 15 stand for in the above table?
2. Find the midrange of items purchased.
3. How many items were purchased by the customers in this sample?

1. The 15 indicates that 15 customers each bought 2 items = subtotal of 30 items bought.

2. The midrange of items purchases would be 3.

3. 5+30+24+32+35 = 126 items were purchased by the customers in this sample.

Please tell me if i did this correctly...

Looks good!

Yay!! Thank u!!

1. Yes, you are correct. The number 15 in the table represents the number of customers who purchased 2 items. Since each customer bought 2 items, multiplying the number of customers (15) by the number of items per customer (2) gives us a subtotal of 30 items bought.

2. To find the midrange of items purchased, we need to calculate the average of the minimum and maximum values. In this case, the minimum value is 1 (since the minimum number of items purchased per customer is 1) and the maximum value is 5.

The midrange formula is: midrange = (minimum value + maximum value) / 2
Substituting the values, we have: midrange = (1 + 5) / 2 = 6 / 2 = 3

So, the midrange of items purchased is 3.

3. No, you have made an error in calculating the total number of items purchased. To find the total number of items purchased, we need to multiply the number of items per customer (x) by the number of customers (f) and then sum up these values for all the different combinations.

For the given table, the calculation would be:
(1 * 5) + (2 * 15) + (3 * 8) + (4 * 8) + (5 * 7)
= 5 + 30 + 24 + 32 + 35
= 126

So, the correct answer is that 126 items were purchased by the customers in this sample.