Calculate the mean,median,and mode of the following set of data. Round to the nearest tenth 10,1,10,15,1,7,10,1,6,13
lions [1.4K]
Let's start with the mean.
To find the mean of a data set, add all the numbers, then divide by the number of numbers there are.
10 + 1 + 10 + 15 + 1 + 7 + 10 + 1 + 6 + 13 = 74
74/10 = 7.4
The mean is 7.4
Now for the median.
To find the median put all the numbers in order, then find the middle number.
1, 1, 1, 6, 7, 10, 10, 10, 13, 15
The number in between 7 and 10 is 8.5
The median is 8.5
And finally, the mode.
To find the mode, find the number that appears the most.
1, 1, 1, 6, 7, 10, 10, 10, 13, 15
In this case, there are two modes. 1, and 10.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
Hmm it would be k(x)=2(5x) or it could be k(x)=10x
Hope this helps!