What is the average of all the numbers between 5 and 78, which can be ...
Between 5 and 78:
First number = 6
Last number = 72
Hence, Option D is correct.
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What is the average of all the numbers between 5 and 78, which can be ...
Understanding the Range and Divisibility
To find the average of all numbers between 5 and 78 that can be divided by 6, we first need to identify these numbers.
Step 1: Identify the Range
- The smallest number greater than 5 that is divisible by 6 is 6.
- The largest number less than 78 that is divisible by 6 is 78 itself.
Step 2: List the Numbers
Now, we will list all the multiples of 6 from 6 to 78:
- 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78
Step 3: Count the Numbers
Next, we count how many numbers are in this list:
- Total numbers = 13
Step 4: Calculate the Sum
Now, we calculate the sum of these numbers:
- Sum = 6 + 12 + 18 + 24 + 30 + 36 + 42 + 48 + 54 + 60 + 66 + 72 + 78
- Sum = 6 * (1 + 2 + 3 + ... + 13) = 6 * 91 = 546
Step 5: Calculate the Average
To find the average, we divide the sum by the number of values:
- Average = Sum / Count = 546 / 13 = 42
Conclusion
The average of all numbers between 5 and 78 that can be divided by 6 is not 39. The correct answer is actually 42, which is not listed in your options. Please verify the options provided.