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.
In a normal distribution the mean, median and mode are all the same value.
Subtracting the same amount from each value in a data set decreases the **mean**, *median*, and **mode** by that amount, but the **range** remains unchanged.
Yes. For example, in the sequence {1,2,2,2,2,3,4,7} 2 is the median, and 2 is also the mode.
Yea
With just one data point, the mean, median and mode are all the same as the data point itself. In this case, 14.
In a normal distribution the mean, median and mode are all the same value.
Subtracting the same amount from each value in a data set decreases the **mean**, *median*, and **mode** by that amount, but the **range** remains unchanged.
Yes. For example, in the sequence {1,2,2,2,2,3,4,7} 2 is the median, and 2 is also the 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.
Yea
With just one data point, the mean, median and mode are all the same as the data point itself. In this case, 14.
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
For the set 3 4 5 8 5, the mean median and mode all have the same value.
Subtracting the same amount from each value in a data set lowers the mean, median, and mode by that same amount. The mean decreases because the total sum of values decreases while the number of values remains constant. The median shifts down to reflect the new central value, and the mode also changes if it was equal to or greater than the subtracted amount. However, the overall distribution and relative differences among the values remain unchanged.
Can the median and mode be used to describe both categorical data and numerical data
Yes, for example this set: 1,2,2,5.
The mode is the value that appears most frequently in a data set. It is a measure of central tendency, similar to the mean and median, but specifically highlights the most common value. A data set can have one mode (unimodal), more than one mode (bimodal or multimodal), or no mode at all if all values occur with the same frequency. The mode is particularly useful for categorical data where we want to identify the most common category.