Question

The following numbers are arranged in ascending order. Find x and the mean if their median is 10. 4,7, x+1, x+5,15,20​

Answer 1

Answer:

I hope my answer is helpful

Mark Me As Brainliest

Answer 2

Value of x is 7.

Mean of data is 11.

Given:

• Numbers arranged in ascending order.
• 4, 7, x+1, x+5, 15, 20
• Median is 10.

To find:

• Find the value of x and hence mean.

Solution:

Concept/Formula to be used:

• Median of even numbers: Average of middle two numbers.
• Mean=$\frac{\Sigma x}{n}$

Step 1:

Find the middle two numbers.

Total numbers are (n)=6

Middle two numbers are 3rd and 4th number.

$Median = \frac{\text{sum of middle numbers}}{2}$

or

$10 = \frac{x + 1 + x + 5}{2}$

or

$2x + 6 = 20$

or

$2x = 14$

or

$\bf \: x = 7$

Thus,

Value of x is 7.

Step 2:

Put the value of x in numbers.

Numbers are 4, 7, 8, 12, 15, 20

$Mean = \frac{4 + 7 + 8 + 12 + 15 + 20}{6}$

or

$Mean = \frac{66}{6}$

or

$\bf Mean = 11$

Thus,

Mean is 11.

Learn more:

1) The mean of 10 numbers is 15 and that of another 20 number is 24 then the mean of all 30 observations is

https://brainly.in/question/3425576

2) The median of the observation 8 11 13 15 (x+1) (x+3) 30 35 40 43 arrange in the ascending order is 22.find the value of ...

https://brainly.in/question/2414692