Answer:
Step-by-step explanation:
1. The mean is calculated using below table
<u>Marks Frequencies Midpoint Product</u>
10 to 14 18 12 216
15 to 19 9 17 153
20 to 24 11 22 242
25 to 29 25 27 675
30 to 34 14 32 448
<u>35 to 39 3 37 111 </u>
Sum 80 1845
<u>The mean is:</u>
2. The mode is the midpoint of the tallest bar.
<u>The mode is </u>
3. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.
<u>Formula to calculate median:</u>
where
<u>Substitute values and calculate:</u>
Answer:
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Step-by-step explanation:
We need to solve the linear system of equations.
We can write second equation y=x-4 as:
Let:
Now, Adding equation 1 and 2
So, we get x = 1
Now, put value of x in second equation to find value of y:
So, we get y = -3
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)