Arrange the data set from least to greatest before finding the median and mode.
Median: 46 Mode: This data set does not have a mode.
Practice makes perfect
We want to find the median and mode of the given data set.
24,74,61,29,38,27,68,54
The first thing we have to do is rearrange the set so that it is in order from least to greatest.
24,74,61,29,38,27,68,54 ⇕ 24, 27, 29, 38, 54, 61, 68, 74
Now that the data set is arranged, we can find the median and mode! The median is the value that divides the ordered set into two halves.
24, 27, 29, 38, 54, 61, 68, 74
There are 8 values in our data set, which means that there are 2 middle values. Because of this, the median is the mean of the two middle values.
Median : 38+ 54/2 = 46
The median of the data set is 46. Now let's find the mode. The mode is the value that appears most often in the set. Let's consider our ordered set again.
24, 27, 29, 38, 54, 61, 68, 74
Every value in the given data set appears only once. This tells us that there is no value that is more common than any other. This means that our data set does not have a mode. Let's summarize our findings.
Median:& 46
Mode: & This data set does not have a mode.
