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In any data set are the median and mean usually very similar in value?
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
Are the mean mode and median always about the same value?
Only if the distribution is roughly 'normal'. Otherwise, no. Example: 1, 2, 3, 4, 5, 6, 1000 Mean = 145.86 Median = 4
Why are mean median and mode considered measures of central tendency?
The mean (average value), the median (middle value), and the mode (most frequently occurring value) are all important values.
How the values of mean and median relate to shape?
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.
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.
Can mean and median ever have the same value?
Yes because if the numbers are all the same they can be both mean and median but they do not have to be the same.
What is the shape of a distribution when the mean and the median are about the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
Can the median and the mean be the same value?
Yes. In the set (9, 10, 11, 12, 13) 11 is the median and the mean.
What is the shape of a distribution when the mean and the median are the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
For the set 3 4 5 8 x the mean median and mode all have the same value what is the value of x?
For the set 3 4 5 8 5, the mean median and mode all have the same value.
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.
What is the median of 1 number only?
Your single number is your only information of the median value of the population, so the median value is the same as your single number. It is also the mode and mean of your sample.
What happens to the mean median and mode if you add the same amount to each value?
All three increase by that same value.
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 median of 65 and 90?
The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5
Is the 50th percentile of a distribution the same as the distribution mean?
Mean = average and median = the middle value in an array of all values received. So to answer your question the 50th percentile of a distribution is the same as median.
What happens when you are left with two numbers of the same value how do you work out the median?
If the two numbers are the same value, then that is the median.
