Answer:
The values of x and y is given by the equation
.
Step-by-step explanation:
Given : Five whole numbers are written in order 4 6 x y 10
, the mean and median of the five numbers are the same.
To find : The values of x and y ?
Solution :
Observations 4, 6, x, y, 10.
Mean is summation of observation divided by number of observation.
i.e. 


Median is middle term of observations.
Median of odd terms
term

term
The mean and median of the five numbers are the same.
i.e. 


The values of x and y is given by the equation
.
Answer:
The mean is equal to the median, so the data is symmetrical
Step-by-step explanation:
Here is the data.
10 5 8 10 12 6
8 10 15 6 12 18
The given data: 10 5 8 10 12 6 8 10 15 6 12 18
For finding the Mean, we will have to add all numbers together and divide it by total number. i.e sum of terms divided by number of terms
Mean= 10+5+8+10+12+6+8+10+15+6+12+18 ÷ 12
Mean = 120 ÷ 12 = 10
For finding the Median, first we need to rearrange the data in ascending order
5 6 6 8 8 10 10 10 12 12 15 18
We can see that the middle values are 10 and 10. So, the median will be the average of those two middle values.
Median = 10+10 ÷ 2
Median = 20 ÷ 2 = 10
From the calculation, we can see that both the median and mean are equal so, the data is symmetrical
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
57 + x + x + 130 = 167
57 + 2x + 130 = 167
187 + 2x = 167
- 187 - 187
---------------------------
2x = -20
------ -------
2 2
x = -10
-2 should be correct. It is an input for that given graph.