Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 7, 3, 2, 1, 13, 8, 1, 5, 14, 11,
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Answer:
Mean = 7.3, median = 7, mode = 1.
Step-by-step explanation:
First arrange the data in order:
1 1 2 3 5 7 8 11 13 14 15
There are a total of 11 values.
Median = middle value = 7.
Mode = the most common number = 1.
Mean = sum / 11
= 80 / 11
= 7.3.
Answer:
f(x) = 1/(x+2) + 7
Step-by-step explanation:
The graph depicts the line of 1/x shifted to the left by 2 and up by 7.
Question 9
Given the segment XY with the endpoints X and Y
Given that the ray NM is the segment bisector XY
so
NM divides the segment XY into two equal parts
XM = MY
given
XM = 3x+1
MY = 8x-24
so substituting XM = 3x+1 and MY = 8x-24 in the equation
XM = MY
3x+1 = 8x-24
8x-3x = 1+24
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
so the value of x = 5
As the length of the segment XY is:
Length of segment XY = XM + MY
= 3x+1 + 8x-24
= 11x - 23
substituting x = 5
= 11(5) - 23
= 55 - 23
= 32
Therefore,
The length of the segment = 32 units
Question 10)
Given the segment XY with the endpoints X and Y
Given that the line n is the segment bisector XY
so
The line divides the segment XY into two equal parts at M
XM = MY
given
XM = 5x+8
MY = 9x+12
so substituting XM = 5x+8 and MY = 9x+12 in the equation
XM = MY
5x+8 = 9x+12
9x-5x = 8-12
4x = -4
divide both sides by 4
4x/4 = -4/4
x = -1
so the value of x = -1
As the length of the segment XY is:
Length of segment XY = XM + MY
= 5x+8 + 9x+12
= 14x + 20
substituting x = 1
= 14(-1) + 20
= -14+20
= 6
Therefore,
The length of the segment XY = 6 units
Answer:
The Average Temperature for the week is -1°C
Step-by-step explanation:
First to find the average, you have to combine all the numbers
-3-4+0-2+0+3-1 = -7
Then you have to divide the total, with the number of numbers used to combine to make the total
-7 ÷ 7 = -1
The average temperature is -1°C
