The frequency table shows ratings for pizza cutter. What is the mean (weighted average) rating of 5 stars is 223, 4 stars is 48, 3 stars is 25, 2 stars is 1, and 1 star is 3
To find the weighted average rating, we need to multiply each rating by its frequency, add up the products, and divide by the total frequency.
Mean rating = (5 x 223) + (4 x 48) + (3 x 25) + (2 x 1) + (1 x 3) / (223 + 48 + 25 + 1 + 3)
Mean rating = 1115 + 192 + 75 + 2 + 3 / 300
Mean rating = 1385 / 300
Mean rating = 4.62 (rounded to two decimal places)
Therefore, the mean (weighted average) rating of the pizza cutter is 4.62 stars.
To calculate the mean (weighted average) rating, you need to multiply each rating by its corresponding frequency, sum up the products, and divide by the total number of ratings.
Step 1: Multiply each rating by its frequency:
5 stars: 5 * 223 = 1115
4 stars: 4 * 48 = 192
3 stars: 3 * 25 = 75
2 stars: 2 * 1 = 2
1 star: 1 * 3 = 3
Step 2: Sum up the products:
1115 + 192 + 75 + 2 + 3 = 1387
Step 3: Calculate the weighted average:
To find the weighted average, divide the sum by the total number of ratings.
The total number of ratings is the sum of the frequencies: 223 + 48 + 25 + 1 + 3 = 300
Weighted average = 1387 / 300 = 4.623333
Therefore, the mean (weighted average) rating of the pizza cutter is approximately 4.623.