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A typing class in elementary school is d...

A typing class in elementary school is divided into three groups . The Red Robins, with 6 students , has an average typing speed of 60 words per minute , the Blue Wax Bills, with 10 students , has an average typing speed of 45 words per minute , and the Gold Finches , with 16 students , has an average typing speed of 30 words per minute. What is the average (arithmetic mean ) of the typing speeds, in words per minute , for the class ?

A

27.3

B

32.0

C

40.3

D

45.0

Text Solution

AI Generated Solution

The correct Answer is:
To find the average typing speed of the entire class, we need to follow these steps: ### Step 1: Calculate the total typing speed for each group. 1. **Red Robins**: - Number of students = 6 - Average typing speed = 60 words per minute - Total typing speed = Number of students × Average typing speed = 6 × 60 = 360 words per minute 2. **Blue Wax Bills**: - Number of students = 10 - Average typing speed = 45 words per minute - Total typing speed = 10 × 45 = 450 words per minute 3. **Gold Finches**: - Number of students = 16 - Average typing speed = 30 words per minute - Total typing speed = 16 × 30 = 480 words per minute ### Step 2: Calculate the overall total typing speed. - Total typing speed for the class = Total typing speed of Red Robins + Total typing speed of Blue Wax Bills + Total typing speed of Gold Finches - Total typing speed = 360 + 450 + 480 = 1290 words per minute ### Step 3: Calculate the total number of students. - Total number of students = Number of students in Red Robins + Number of students in Blue Wax Bills + Number of students in Gold Finches - Total number of students = 6 + 10 + 16 = 32 students ### Step 4: Calculate the average typing speed for the entire class. - Average typing speed = Total typing speed / Total number of students - Average typing speed = 1290 / 32 = 40.3125 words per minute ### Step 5: Round the average to one decimal place. - The average typing speed rounded to one decimal place is 40.3 words per minute. ### Final Answer: The average typing speed for the class is **40.3 words per minute**. ---
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