Question

.The average of first 40 results is 40, and that of next 60 results is 60. What is the average of all 100 results?
Ans =52

Tata bye bye ​

Answer 1

Answer:Your answer is 52

Step-by-step explanation:

Given:−

Average of first 40 results is 40, and that of next 60 results is 60

ToFind:−

The average of all 100 results

:-Solution:−

We know that

\bf\red{Average = \dfrac{Sum \; of \; observation}{No. \; of \; observation}

For the first 40 results

Let the sum be x

\sf 40 = \dfrac{x}{40}40=

40

x

​

\sf 40 \times 40 = x40×40=x

\sf 1600 = x1600=x

For the last 60 result

Sum = y

\sf 60 = \dfrac{y}{60}60=

60

y

​

\sf 60 \times 60 = y60×60=y

\sf 3600 = y3600=y

\bf \pink{Total \; Avg. = \dfrac{x+y}{100}

\sf Total \; Average = \dfrac{1600 + 3600}{100}TotalAverage=

100

1600+3600

​

\sf Total\; average = \dfrac{5200}{100}Totalaverage=

100

5200

​

\sf Total \; Average = 52TotalAverage=52

Answer 2

Answer:

The average of 100 results = 52

Step-by-step explanation:

Given,

The average of 40 results = 40

The average of 60 results = 60

To find,

The average of 100 results

Recall the formula

Average of observations = $\frac{sum \ of \ observations}{Total \ number \ of \ observations}$

Solution:

Since the average of 40 results = 40, we have

$\frac{sum \ of \ 40\ observations}{40}$ = 40

Sum of 40 observations = 40 × 40 = 1600

Since the average of 60 results = 60, we have

$\frac{sum \ of \ 60\ observations}{60}$ = 60

Sum of 60 observations = 60 × 46 = 3600

∴ The sum of all 100 observations = 1600+3600 = 5200

Average of all 100 results =  $\frac{sum \ of \ 100\ observations}{100}$ = $\frac{5200}{100}$ = 52

∴The average of 100 results = 52

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