N the figure, m || n and x || y. If the m /_15 = 75, find m /_1 .
1 answer:
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There are two interpretations we could go for:
- Adding 4 to the end means we add 4 to each y coordinate (since y = x). This <u>shifts the entire line 4 units up</u>
- Replacing x with x+4 means the xy axis is shifted 4 units to the right. If the line y = x is held completely still while the axis moves, then it gives the illusion the line is moving <u>4 units to the left</u>
Check out the diagram below.
Point A on the red line y = x has two locations it could end up. If we follow method 1, then point A shifts upward to point B. Do this to every point on the red line and the entire red line shifts up 4 units.
Or if you decide to shift 4 units to the left (method 2), then point A moves to point C's location. Doing this to every point on the red line shifts the entire line 4 units to the left.
The shape of the distribution, is symmetric, is the best description of statistics about scores.
<h3 /><h3>What is standard deviation ?</h3>The standard deviation is the positive square root of the variance of this data set. Variance of a data set is the sum of squared differences of the data values from its mean to the total count of data values.
The given data in the problem is;
Mean = 78%
Standard deviation = 4%
Min = 64
Median = 78
Q1 = 72
Q3 = 84
Max = 99
The condition for the symmetric distribution is found as;
From the data we have;
So that , .
Hence, the condition of symmetry is followed.
To learn more about the symmetry, refer to the link;l
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