Question

The mean of 10 observations is 50 if each observation is multiplied by 5 find the new mean

Answer 1

Answer:

The total of the n values is 10n. Next each of the n values is multiplied by 5 and 1 added to each of them. So the total will increase from 10n to (10*5+1)n*10 or 51n*10 and the new mean will be 51*10n/10n = 51.

Answer 2

Step-by-step explanation:

Given The mean of 10 observations is 50 if each observation is multiplied by 5 find the new mean

• The question is we need to find the new mean.
• So  the average of the numbers will be mean
• According to the question
• Mean of 10 observations is 50
• So we have
•         m1 + ,m2 + m3 + m4 + m5 + m6 + m7 + m8 + m9 + m10 / 10 = 50
•        m1 + m2 + m3 + m4 + m5 + m6 + m7 + m8 + m9 + m10 = 500
•      Now  by multiplying each observation by 5, so we get
•        5m1 + 5m2 + 5m3 + 5m4 + 5m5 + 5m6 + 5m7 + 5m8 + 5m9 +   5m10 = 500
•         5(m1 + m2 + m3 + m4 + m5 + m6 + m7 + m8 + m9 + m10) = 500
•         Or m1 + m2 + m3 + m4 + m5 + m6 + m7 + m8 + m9 + m10 = 500/5
•                                                                                                         = 100

Reference link will be

https://brainly.in/question/35587947