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What can be two different data sets with 6 numbers. But the mode is 100 and the mean is less then the median?
One possible data set is {100, 100, 100, 20, 30, 40}, where the mode is 100 (as it appears most frequently), the mean is 100 (sum is 390, divided by 6 gives 65), and the median is 100 (the average of the third and fourth values, which are both 100). Another data set could be {100, 100, 100, 10, 20, 30}, also with a mode of 100, a mean of 65 (sum is 360), and a median of 100. In both cases, the mean is less than the median.
What else can I help you with?
What is the median of the prime numbers less than 40?
The median of the 12 primes less than 40 is 15.
What is the median of 1 1 2 2 3 3 4 5?
The answer is 2.5In order to find out the median of a group of numbers you must count how many of numbers there are, add one, divide by two to find n, and the nth number in the group is the median.In this case, there are 8 numbers. 8 + 1 = 9. 9/2 is 4.5So the 4.5th number in the group is the median.Since you can't have a 4.5th number, you take the average of the 4th and 5th numbers; in this case, 2 and 3. 2+3=5, 5/2 = 2.5The median can be used to get an idea of the way a group of data is spread out. It is less influenced by outliers than the mean so it is more commonly used.
What numbers have a mean of 5 a median of -1 and the range of 6?
It is easy to prove that such a set of numbers cannot exist. If the median is -1 and the mean is different from the median, then there must be at least one number that is less than or equal to -1. Then, if the range is 6, the largest number can only be 5. If the largest number is 5 and the mean is 5, then all the numbers must be 5. That is not possible because there is at least one that is -1 or smaller.
Why use a median instead of average?
The median is less effected by outliers or numbers far outside of the normal range than the mean. See related link.
When an observation in a data is abnormally more than and less than the remaining observations in the data does it affect Mean Median Mode?
Yes, an observation that is abnormally larger or smaller than the rest of the data can significantly affect the mean, as it will pull the average towards that extreme value. However, the median and mode are less influenced by outliers, as they are not as sensitive to extreme values. The median is the middle value when the data is arranged in order, so outliers have less impact on its value. The mode is the most frequently occurring value, so unless the outlier is the most common value, it will not affect the mode.
What does the median tell you about the data?
The median, by definition, tells you the "half way point" of your data. Exactly half of the observations in the dataset will be less than the median and half will be greater than the median.
What is the median of the prime numbers less than 40?
The median of the 12 primes less than 40 is 15.
What is the median of an unsorted array of numbers?
The median of an unsorted array of numbers is the middle value when the numbers are arranged in numerical order. It divides the array into two equal parts, with half of the numbers being greater than the median and half being less than the median.
When is the mean less than the median?
When the data distribution is negatively skewed.
What is the median of 1 1 2 2 3 3 4 5?
The answer is 2.5In order to find out the median of a group of numbers you must count how many of numbers there are, add one, divide by two to find n, and the nth number in the group is the median.In this case, there are 8 numbers. 8 + 1 = 9. 9/2 is 4.5So the 4.5th number in the group is the median.Since you can't have a 4.5th number, you take the average of the 4th and 5th numbers; in this case, 2 and 3. 2+3=5, 5/2 = 2.5The median can be used to get an idea of the way a group of data is spread out. It is less influenced by outliers than the mean so it is more commonly used.
What numbers have a mean of 5 a median of -1 and the range of 6?
It is easy to prove that such a set of numbers cannot exist. If the median is -1 and the mean is different from the median, then there must be at least one number that is less than or equal to -1. Then, if the range is 6, the largest number can only be 5. If the largest number is 5 and the mean is 5, then all the numbers must be 5. That is not possible because there is at least one that is -1 or smaller.
What is the definition of median?
That means that, in a set of numbers, there are just as many numbers greater than the calculated median, as there are numbers less than the median. To calculate the median, sort the numbers, then pick the number in the middle. If there are two middle numbers, take their average.
Why use a median instead of average?
The median is less effected by outliers or numbers far outside of the normal range than the mean. See related link.
How come the mean is less than the median?
If the distribution is not symmetric, the mean will be different from the median. A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.
What is the middle value in Excel?
The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.The middle value of a set of numbers that are in order is known as the median. If the amount of numbers is odd, there will be a middle number. If the amount is even, then the median is the value halfway between the two middle numbers. Excel has a function called MEDIAN to get the median.
What does the point of intersection of less than ogive and more than ogive correspond to?
the intersection of less and more than ogive gives us the median of the following data.. but the median is not accurate as we draw the free hand cumulative graph..
Why is mean median and mode important?
Its important because they show trends (growth) in data. Individual data points are less important than what you see when you put all the data together.
