Question

The arithmetic mean of 15 numbers is 41.4 The The sum of these numbers is​

Answer 1

Answer:

The Correct Answer is mentioned below

Step-by-step explanation:

The average is the sum of a set of integers divided by the count of the values being added. Assume you want the average of 13, 54, 88, 27, and 104. Determine the sum of the following numbers: 13 + 54 + 88 + 27 + 104 = 286. Because our data collection contains five values, divide 286 by 5 to get 57.2.

Sum of the numbers be 'x'

Mean given is 41.4

Total number of terms is 15

Therefore,

x/15 = 41.4

x = 41.4 X 15

x = 621

Therefore sum of these numbers is 621

Answer 2

To find : sum of numbers .

Given : The arithmetic mean of $15$ numbers is $41.4$

Solution :  

• As we know that arithmetic mean of numbers is the ratio of sum of all the numbers given in data to the total number of observations.
• Formula:

• Arithmetic mean = $\frac{\text { sum of all the observations }}{\text { total of observations }}$

• Let ,  sum of observations be $x$  
• Total number of observations $= 15$
• Arithmetic mean = $41.4$
• Substituting values in above formula, we find  sum of numbers .

        $41.4 = \frac{x}{15} \\x = 41.4 \times 15 \\x =621$

Hence ,  sum of numbers is $621$.