Question

If the arithmetic mean of 5, 4, x, x + 3, 9 and 8 is 6, find out value of x. ​

Answer 1

Answer:

★ ANSWER :

x = 3.5

Step-by-step explanation:

★ QUESTION :

If the arithmetic mean of 5, 4, x, x + 3, 9 and 8 is 6, find out value of x.

★ CONCEPT USED :

The Arithmetic Mean can be computed by three methods.

1. Direct Method

$\frac{ \sum \: f_{i} \:x_{i}}{ \sum \:f_{i}}$

2. Assumed - Mean Method

A + $\frac{ \sum \: f_{i} \:d_{i}}{ \sum \:f_{i}}$

3. Step - Derivation Method

A + $\{h \: \times \frac{ \sum f_{i} u_{i} }{f_{i}} \}$

★ SOLUTION ;

Σfixi = 5 + 4 + x + x + 3 + 9 + 8

Σfixi = 2x + 29

Σfi = 6

According to the Question ,

$\frac{ \sum \: f_{i} \:x_{i}}{ \sum \:f_{i}} \: = \: 6 \\ \\ \implies \: \frac{2x + 29}{6} = 6 \\ \\ \implies \: 2x + 29 = 6 \times 6 \\ \\ \implies \: 2x + 29 = 36 \\ \\ \implies \: 2x = 36 - 29 \\ \\ \implies \: 2x = 7 \\ \\ \implies \: x = \frac{7}{2} \\ \\ \implies \: x \: = 3.5$

★ ANSWER :

x = 3.5

HOPE IT HELPS YOU !

THANKS !

Answer 2

Given :- If the arithmetic mean of 5, 4, x, x + 3, 9 and 8 is 6, find out value of x. ?

Solution :-

we know that,

• Arthmetic mean = average = (sum of observation) / (Total number of observation ).

given that,

→ observations are =5, 4, x, (x+3), 9 and 8.

So,

→ sum of observation = 5 + 4 + x + (x + 3) + 9 + 8 = (29 + 2x)

→ Total number of observation = 6

Now, we have given that, Arthmetic mean is 6.

Putting values we get,

→ Arthmetic mean = (sum of observation) / (Total number of observation ) .

→ 6 = (29+2x)/6

cross - multiply,

→ 6 * 6 = 29 + 2x

→ 36 = 29+ 2x

→ 2x = 36 - 29

→ 2x = 7

dividing both sides by 2,

→ x = 3.5 (Ans.)

Hence, value of x is 3.5 .

Learn more :-

what is the mean deviation of the data:8,9,12,15,16,20,24,30,32,34?

https://brainly.in/question/26616981?

The mean and standard deviation of a data which is comprised of a set of ten positive numbers are 8 and 2 respectively ....

https://brainly.in/question/26639131