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
•What does the 15 stand for in the above table?
•Find the midrange of items purchased.
•How many items were purchased by the customers in this sample?
The 15 indicates that 15 customers each bought 2 items = subtotal of 30 items bought.
That should help you with the other questions.
So the midrange of items purchases would be 3.
5+30+24+32+35 = 126 items were purchased by the customers in this sample.
Did i do this correctly?
To answer the questions, let's analyze the provided data:
x: Number of items purchased per customer
f: Number of customers
What does the 15 stand for in the above table?
The number 15 in the table represents the number of customers who purchased 2 items. In other words, out of the total number of customers surveyed, 15 of them bought exactly 2 items.
Find the midrange of items purchased:
To find the midrange, we need to determine the average of the smallest and largest values in the data set.
The smallest value is 1 and the largest value is 5.
Midrange = (Smallest value + Largest value) / 2 = (1 + 5) / 2 = 3
Therefore, the midrange of items purchased is 3.
How many items were purchased by the customers in this sample?
To calculate the total number of items purchased, we need to multiply each number of items by its corresponding frequency and then sum them all up.
Total number of items purchased = (1 x 5) + (2 x 15) + (3 x 8) + (4 x 8) + (5 x 7) = 5 + 30 + 24 + 32 + 35 = 126
Hence, the customers in this sample purchased a total of 126 items.