The mean of 15 numbers is 25. If each number is multiplied by 4, mean ...
Answer:
100
Step-by-step explanation:
mean=25
every number is multiplied by 4,
then 4 is common
Therefore, 25x4=100
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The mean of 15 numbers is 25. If each number is multiplied by 4, mean ...
Solution:
Given, mean of 15 numbers = 25
We know that mean = (sum of all numbers) / (number of numbers)
Therefore, sum of all 15 numbers = mean × number of numbers = 25 × 15 = 375
Effect of multiplying each number by 4:
If we multiply each number by 4, the sum of the new numbers will be 4 times the sum of the original numbers.
Therefore, sum of new numbers = 4 × sum of original numbers
= 4 × 375 = 1500
As the number of numbers is still 15, the new mean will be:
New mean = sum of new numbers / number of numbers
= 1500 / 15 = 100
Hence, the new mean of the new numbers is 100.
Therefore, the correct option is (a) 100.
The mean of 15 numbers is 25. If each number is multiplied by 4, mean ...
Solution:
Given, the mean of 15 numbers is 25.
Let the 15 numbers be represented by x1, x2, x3, ..., x15.
Then, we have
Mean = (x1 + x2 + x3 + ... + x15) / 15 = 25
Multiplying each number by 4, we get new numbers 4x1, 4x2, 4x3, ..., 4x15.
Calculation:
New Mean = (4x1 + 4x2 + 4x3 + ... + 4x15) / 15
= 4(x1 + x2 + x3 + ... + x15) / 15
= 4(25) = 100
Hence, the mean of the new numbers is 100.
Therefore, option 'A' is the correct answer.
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