1
Question
The following frequency distribution table shows the ratings received by a hotel in one month. What is the average rating and range of the data respectively?
The following frequency distribution table shows the ratings received by a hotel in one month. What is the average rating and range of the data respectively?
Open in App
Solution
The correct option is A 3.5 and 4
For mean, we need the sum of all observations. For that, we can refer to the frequency distribution table.
There are 5 ratings of 1 each, 3 ratings of 2 each, 10 ratings of 3 each, 17 ratings of 4 each, and 9 ratings of 5 each.
So, sum of all observations = 5 x 1 + 3 x 2 + 10 x 3 + 17 x 4 + 9 x 5
= 5 + 6 + 30 + 68 + 45 = 154
Total observations = Number of ratings = 5 + 3 + 10 + 17 + 9 = 44
Mean = 154/44 = 3.5
Range is the difference between lowest and highest rating
Range = 5 - 1 = 4
For mean, we need the sum of all observations. For that, we can refer to the frequency distribution table.
There are 5 ratings of 1 each, 3 ratings of 2 each, 10 ratings of 3 each, 17 ratings of 4 each, and 9 ratings of 5 each.
So, sum of all observations = 5 x 1 + 3 x 2 + 10 x 3 + 17 x 4 + 9 x 5
= 5 + 6 + 30 + 68 + 45 = 154
Total observations = Number of ratings = 5 + 3 + 10 + 17 + 9 = 44
Mean = 154/44 = 3.5
Range is the difference between lowest and highest rating
Range = 5 - 1 = 4
Suggest Corrections
0
Similar questions