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The median of the set of data does not have to be close in value to the mean. First of all, what is the median? The median is the middle number between a set of numbers. So if you are asked what the median of a set of numbers is.... put the set of numbers in order from lowest in value to highest value.
Example.... 1, 2, 3, 45, 100, 1010, 1020.
In this example, what is the median, or the middle number? It's ... 45!
If you want to find the mean ... add all of the numbers and divide the sum by the AMOUNT of numbers there are in the set.... the sum of the set is 2181.. and there are 7 numbers in the set.
The mean is 2181 / 7 = 311. 57.
You can see that 311 is not close in value to 45.
What else can I help you with?
How do the mean and median compareas measures of center?
The mean is the arithmetic average of a set of values, while the median is the middle value when the data is ordered. In symmetrical distributions, the mean and median are typically close or equal, but in skewed distributions, the mean can be influenced by extreme values, making it higher or lower than the median. Thus, the median is often preferred as a measure of center for skewed data, as it provides a better representation of the typical value without being affected by outliers.
The median and mean of a data set can be the same value why or why not?
The median and mean of a data set can be the same when the data is symmetrically distributed, such as in a normal distribution. In this case, the mean accurately reflects the central tendency of the data, and the median, being the middle value, aligns with it. However, in skewed distributions, the mean and median can differ significantly due to the influence of outliers. Thus, while they can be equal, it depends on the distribution characteristics of the data set.
What do these data sets illustrate about the resistance of the median and mean?
Data sets illustrate that the median is more resistant to outliers and extreme values than the mean. While the mean can be significantly affected by extreme data points, causing it to misrepresent the central tendency, the median remains stable as it focuses solely on the middle value of a sorted data set. This property makes the median a better measure of central tendency in skewed distributions. Thus, when analyzing data, choosing the median over the mean can provide a clearer picture of the typical value.
Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
What are the mean median and mode of all 3 columns of data?
To calculate the mean, median, and mode of the three columns of data, you first need to sum the values in each column for the mean, then find the middle value for the median, and identify the most frequently occurring value for the mode. If you provide specific data, I can help you compute these statistics. Without the actual data, I can't give you the numerical results.
How do the mean and median compareas measures of center?
The mean is the arithmetic average of a set of values, while the median is the middle value when the data is ordered. In symmetrical distributions, the mean and median are typically close or equal, but in skewed distributions, the mean can be influenced by extreme values, making it higher or lower than the median. Thus, the median is often preferred as a measure of center for skewed data, as it provides a better representation of the typical value without being affected by outliers.
The median and mean of a data set can be the same value why or why not?
The median and mean of a data set can be the same when the data is symmetrically distributed, such as in a normal distribution. In this case, the mean accurately reflects the central tendency of the data, and the median, being the middle value, aligns with it. However, in skewed distributions, the mean and median can differ significantly due to the influence of outliers. Thus, while they can be equal, it depends on the distribution characteristics of the data set.
Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
What are the mean median and mode of all 3 columns of data?
To calculate the mean, median, and mode of the three columns of data, you first need to sum the values in each column for the mean, then find the middle value for the median, and identify the most frequently occurring value for the mode. If you provide specific data, I can help you compute these statistics. Without the actual data, I can't give you the numerical results.
How will adding the value 100 affect the mean and median of the data set 1 5 7 7 9 10?
It will increase the mean without affecting the median.
In a normally distributed data set which is greater mean median or mode?
In a normal distribution the mean, median and mode are all the same value.
Definition of mean median and mode?
Mean is the average of the data set values. Median is the middle number in the data set (set up in ascending or descending order). Mode is the data value (or values) that occur the most number of times.
Does all data have a mean median or mode?
No, not all data sets have a mode but all data sets have a mean and median.
How does the outlier effect the mean median and mode in a set of data?
There would be a difference to the median. The old number wouldn't be the median but the mode wouldn't change. If the outlier is a high value, it will cause the mean value to shift to the higher side, while a low valued outlier will drop the mean value to a lower number.
What is similar about median and mean value?
Both the median and mean are measures of central tendency used to summarize a set of data points. They provide a sense of the "average" value of a dataset, helping to identify where most data points are concentrated. However, while the mean is calculated by summing all values and dividing by the number of values, the median represents the middle value when the data is sorted, making it less sensitive to outliers. Despite these differences, both are valuable for understanding data distribution.
What is an advantage to using the median when examining a set of data?
The median or mode should be used instead of the mean in distributions with extreme outliers. In such cases, the mean can be a misleading measure of central tendency and the median value or the mode value are typically more accurate measures.
How does subtracting the same amount from each value in a data set affect the mean median mode and range?
Subtracting the same amount from each value in a data set decreases the **mean**, *median*, and **mode** by that amount, but the **range** remains unchanged.
