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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.
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
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.
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.
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
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.
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.
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.
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 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.
There are 100 values in the set The median is 90 the mean is 95 Increase the highest value in the data set by 200 Now what are the median and the mean of the data set?
Oh, dude, so we had this chill set of 100 values, right? The median was 90, and the mean was 95. Then we decided to be rebels and increase the highest value by 200. Now, the median is still 90 because it's the middle value, but the mean is now 97.95. So, like, we're all good, mathematically speaking.
Can ypu find the mean and median with data from a histogram?
You can estimate the median and the mean.
How are mean and median alike?
The mean of a set of data is all the values in that data added together and then divided by the number of values. For instance, if you had the data set 1, 3, 4, 6, 8, you would add them all up to get 22, and then divide by 5 to get 4.4 which is the mean. The median is the middle value of all data values. In the above data set, that is 4, and so 4 would be the median. Mean and median are alike in that they both attempt to find the "middle" of the data, and are both considered averages.
