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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 does median value mean?
The median value is the middle number in a sorted list of numbers. To find the median, you arrange the data in ascending order and identify the central value; if there is an even number of observations, the median is the average of the two central numbers. It is a measure of central tendency that is less affected by outliers compared to the mean, making it useful for understanding the typical value in a dataset.
Is the second quartile more or less than the median?
The second quartile, also known as the median, is equal to the median of a dataset. It represents the value that divides the data into two equal halves, meaning that 50% of the data points fall below it and 50% fall above it. Therefore, the second quartile is neither more nor less than the median; they are the same.
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 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.
Is the second quartile more or less than the median?
The second quartile, also known as the median, is equal to the median of a dataset. It represents the value that divides the data into two equal halves, meaning that 50% of the data points fall below it and 50% fall above it. Therefore, the second quartile is neither more nor less than the median; they are the same.
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 does an outliner affect the median of a set of data?
An outlier can significantly affect the median of a data set, although its impact is less pronounced compared to measures like the mean. The median is the middle value when data is arranged in order, so if an outlier is added or removed, it may not change the median unless it is situated among the middle values. For instance, in a data set with an odd number of values, an extreme outlier at one end will not affect the median as long as it does not enter the central position. However, in a smaller data set, the presence of an outlier can shift the median if it changes the arrangement of the middle values.
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.
