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The mean of a symmetrical distribution is 40What is its median?
Wiki User
∙ 13y ago
for symmetrical distributions your mean equals the median. that is one of the properties of the symmetrical distribution.
Wiki User
∙ 13y ago
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Are the mean median and the mode the same in a unimodal symmetrical distribution?
No they are not the same in a unimodal symmetrical distribution and they will never be
In a unimodal symmetrical distribution the mean is equal to?
The median and mode.
How does the median affect the graph of a normal distribution?
A normal distribution is symmetrical; the mean, median and mode are all the same, on the line of symmetry (middle) of the graph.
In a perfectly symmetrical bell-shaped normal distribution?
Normal distribution is a perfectly symmetrical bell-shaped normal distribution. The bell curve is used to find the median, mean and mode of a function.
Uses of medianmodemean in daily life?
mean (average) temperature median income, mediian home prices, salary, etc. mode is the most likely occurence of an event. If the distribution of outcomes is symmetrical, then mean median mode
Can the mean be equal to the median?
Yes, and they WILL be if the distribution is symmetrical.
Are the mean median and the mode the same in a unimodal symmetrical distribution?
No they are not the same in a unimodal symmetrical distribution and they will never be
In a unimodal symmetrical distribution the mean is equal to?
The median and mode.
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
What would be the implications if the mean mode and median were equivalent?
Your distribution is unimodal and symmetrical.
How does the median affect the graph of a normal distribution?
A normal distribution is symmetrical; the mean, median and mode are all the same, on the line of symmetry (middle) of the graph.
In a perfectly symmetrical bell-shaped normal distribution?
Normal distribution is a perfectly symmetrical bell-shaped normal distribution. The bell curve is used to find the median, mean and mode of a function.
Is the mean and median similar?
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.
What is the nature of symmetry if median is greater than the mean?
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.
What can the difference between mean and median values infer. If the mean is 8 655.7 and the median -8 653.0?
First, I will give an example, similar to your question: -11000 -9000 +44000 mean = 8,000 and median = -9000. Symmetrical distributions after infinite sampling will show no difference in mean and median. Large differences are possible with small sample sizes even with symmetrical distributions. If the sample is large and the difference is large, this infers that the distribution is asymmetrical. The skewness of the distribution can be calculated.
Uses of medianmodemean in daily life?
mean (average) temperature median income, mediian home prices, salary, etc. mode is the most likely occurence of an event. If the distribution of outcomes is symmetrical, then mean median mode
Is Mean is more sensitive to skewness than the median?
If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.
