Question

Ed Sullivan manufactures bean bags. From the following daily production for the first 20 days of July, find the weighted mean (to the nearest whole number). 600 900 700 800 600 900 800 900 900 700 700 600 600 700 800 800 800 600 600 700

Answer 1

The weighted mean production of bean bags per day for the first 20 days of July is 770 bean bags. To find the weighted mean, multiply each value by its weight, sum up the products, divide by the total weight, and round to the nearest whole number.

Step-by-step explanation:

To calculate the weighted mean of Ed Sullivan's bean bag production for the first 20 days of July, we must first tally how many times each production quantity occurs. For this, we will create a frequency table and then multiply each production quantity by its corresponding frequency to get the weighted total. Summing these products and dividing by the total number of days will give us the weighted mean.

• Frequencies: 600 (6 times), 700 (6 times), 800 (5 times), 900 (4 times).
• Weighted totals: 600*6 = 3600, 700*6 = 4200, 800*5 = 4000, 900*4 = 3600.
• Total production over 20 days = 3600 + 4200 + 4000 + 3600 = 15400.

To find the weighted mean:

Weighted Mean = Total weighted production sum / Number of days

Weighted Mean = 15400 / 20 = 770

So, the weighted mean production per day (to the nearest whole number) is 770 bean bags.