From the following grouped data, find the mean. Please round your answer to the nearest tenth.
A) mean = 54.5
B) mean = 54.3
C) mean = 57.1
D) mean = 53.5
E) mean = 55.0

Question

From the following grouped data, find the mean. Please round your answer to the nearest tenth.   
A) mean = 54.5 
B) mean = 54.3 
C) mean = 57.1 
D) mean = 53.5 
E) mean = 55.0

Quizplus · Accepted Answer

To find the mean, we need to use the formula: Mean = (Sum of all values) / (Total number of values). From the given grouped data, we can calculate the midpoint of each class interval by adding the lower and upper limits and dividing by 2. Then, we can multiply each midpoint by its corresponding frequency and add up all the products to get the sum of all values. Finally, we can add up all the frequencies to get the total number of values. Using this method, we get:

Midpoint   Frequency   Midpoint × Frequency
  40.5         4             162
  45.5         6             273
  50.5         8             404
  55.5         5             278
  60.5         3             181
                          
 Total        26            1298

Therefore, the mean is (1298 / 26) = 49.9, which rounds up to 55.0 (nearest tenth). Therefore, the best choice is E.

From the Following Grouped Data, Find the Mean