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The mode is the most frequent number in a set of data. For instance in the data 1, 2, 2, 2, 2, 4, 6, 6, 7, 8, 9, 9, it is clear that 2 is the mode.

The median is the middle number in the data. The above set has already been ordered from smallest to largest, and the middle number is 6. Thus the median of the above data is 6.

It is clear that the mode and median can easily be the same value. For instance, in the data set 1, 3, 4, 5, 5, 5, 5, 7, 9. Here, 5 is both the middle number and the most frequent. Thus the median and mode are the same value.

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Q: Can the mode and the median of a set of data be the same value?
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Related questions

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.


How can two data sets with different numbers have the same mean median and mode?

(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.


Can the mode and the median have the same value?

Yes. For example, in the sequence {1,2,2,2,2,3,4,7} 2 is the median, and 2 is also the mode.


How does subtracting the same amount from each value in a data set affect the mean median mode and range?

The mean, the median, the mode and the upper and lower limits of the range would each be reduced by the amount subtracted.


Can a data set have the same mean median mode and range?

Yea


Can the mode and median for a data set be the same or different?

mode-the most (highest # in a set of data) median-the middle # when you put a set of data in order from least to greatest let's take for example a reasonable set of 10,3,4,5,7,5,9 3,4,5,5,7,9,10 3,4,5,5,7,9,10 and than your mode 5 because there was two 5's so YES IT IS POSSIBLE TO HAVE THE SAME MEDIAN AND MODE FOR ONE SET OF DATA DEPENDING ON WHAT THAT SET OF DATA IS


What is the median of 14?

With just one data point, the mean, median and mode are all the same as the data point itself. In this case, 14.


Can the median be used to describe both categorical data and numerical data?

Can the median and mode be used to describe both categorical data and numerical data


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.


Can the mode and median of a set of data have the same values?

Yes, for example this set: 1,2,2,5.


What happens to the mean median and mode if you add the same amount to each value?

All three increase by that same value.


What characteristics do data sets share when they have the same range?

The minimum and maximum are the same. The mean, median, and mode can be different.