What is the range of the function y = x?? all real numbers X30 Oy0
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Answer:
A.The mean would increase.
Step-by-step explanation:
Outliers are numerical values in a data set that are very different from the other values. These values are either too large or too small compared to the others.
Presence of outliers effect the measures of central tendency.
The measures of central tendency are mean, median and mode.
The mean of a data set is a a single numerical value that describes the data set. The median is a numerical values that is the mid-value of the data set. The mode of a data set is the value with the highest frequency.
Effect of outliers on mean, median and mode:
- Mean: If the outlier is a very large value then the mean of the data increases and if it is a small value then the mean decreases.
- Median: The presence of outliers in a data set has a very mild effect on the median of the data.
- Mode: The presence of outliers does not have any effect on the mode.
The mean of the test scores without the outlier is:
*Here <em>n</em> is the number of observations.
So, with the outlier the mean is 86 and without the outlier the mean is 86.9333.
The mean increased.
Since the median cannot be computed without the actual data, no conclusion can be drawn about the median.
Conclusion:
After removing the outlier value of 72 the mean of the test scores increased from 86 to 86.9333.
Thus, the the truer statement will be that when the outlier is removed the mean of the data set increases.
The matchup are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
The graph of the linear equation is known to be one that often brings or set the points that can be found on the coordinate plane and it is one that shows all the solutions to the equation.
Note that when all variables stands for real numbers, a person can be able to use graph to show the equation and this is often done through plotting the points to show a pattern and then link up the points to have all the points.
From the above, the pictures that have all the points as shown on the graph are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
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