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The question is how do the mean and median affect the distribution shape.

In a normal curve, the mean and median are both in the same point. ( as is the mode)

If a distribution is skewed, its tail is either on the right or the left.

If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use.

So the mean has a bigger effect on the shape many times than the median.

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Q: How the values of mean and median relate to shape?

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yes they are if you have 0 and 10 the mean is 5 and so is the median. The mean and the median can in fact be the same value. But basically to answer your question, One possible way is that if the values are ascending by 1 in the data set, then the number of values left to the median should be the same as the number of values right to the median. e.g. 6+7+8+9+10 6,7 = 2 terms 9,10 = 2 terms median =8 mode = 8

The MEDIAN is the number in the middle. In order to find the median, you have to put the values in order from lowest to highest, then find the number that is exactly in the middle. For example : 80 85 90 90 90 100 ^ since there is an even number of values, the MEDIAN is between these two, or it is 90. Notice that there is exactly the same number of values above the median as below it! Its that simple.

The mean (average value), the median (middle value), and the mode (most frequently occurring value) are all important values.

Generally, when the median is greater than the mean it is because the distribution is skewed to the left. This results in outliers or values further below the median than above the median which results in a lower mean value than median value. When a distribution is skewed left, it is generally not very symmetrical or normally distributed.

Related questions

Range, Mean, Median, and Mode all relate to a set of values. To find the range of the set, subtract the smallest value from the largest value . To find the mean, add all the values together and divide by the total number of values in the set. To find the median, sort the values from smallest to greatest, and find the value that is in the middle of the sorted list. To find the mode, simply find the value or values in the set that appear the most often.

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Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong

The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.

If a data set consists of 1000 different values can the mean and the median be the same

If it is a symmetric distribution, the median must be 130.

When someone asks a for an "average" value, that can mean a couple of different things. "Mean," "median," and "mode" are all values that are used to relate what the "center" or "average" of a distribution of values is. Each one has their advantages and disadvantages. The median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution. The main advantage of the median is that it is not affected by outliers as the mean is and the mode can be. In distributions with a clear skew, such as housing prices or wages, using the median provides a much better estimate of what the "average" is.

Any set of numbers can have only one mean and only one median but it can have as many modes as it has values.

Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.

You may be confusing mean with median. An arithmetic mean is, the sum of all the values ÷ the number of values. Consequently the number of values can be either odd or even. After arranging a set of values in ascending (or descending) order, the median is the value that lies half way along the series. When there are an even number of values the median is found by taking the mean of the middle two values. Example : 3, 5, 5, 7, 8, 8 The median of this set is (5 + 7) ÷ 2 = 6

It is the value of all numbers in the range in which there are as many values above it as there are below it. For example for the ordered values 1,3,7,9,10,12,15,19,21 the median value is 10. It is not he same as the mean, or average, which is the sum divided by the number of values.

When someone asks a for an "average" value, that can mean a couple of different things. "Mean," "median," and "mode" are all values that are used to relate what the "center" or "average" of a distribution of values is. Each one has their advantages and disadvantages. The median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution. The main advantage of the median is that it is not affected by outliers as the mean is and the mode can be. In distributions with a clear skew, such as housing prices or wages, using the median provides a much better estimate of what the "average" is.

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