i have a little bit of trouble finding the first and second quartile of this data set:78,91,88,83,84.
I know my median is 88,but i cannot see a way to find Q1 ad Q3,plz help!!😄
Just as the median is the middle point in the range, the 1st quartile is the middle point in the lower half.
Your data set is so small that it's hard to divide equally. But, the url below discusses it in some detail.
https://en.wikipedia.org/wiki/Quartile
To find the first and third quartiles (Q1 and Q3) of a data set, you need to follow a few steps. First, you need to sort the data set in ascending order:
78, 83, 84, 88, 91
Now, to find Q1, you divide the data set into two halves. Q1 represents the median of the lower half of the data. In this case, the lower half is:
78, 83, 84
Since the number of data points in the lower half is odd, the median (Q1) will be the middle value, which is 83.
Next, to find Q3, you divide the data set into two halves as well. Q3 represents the median of the upper half of the data. The upper half in this case is:
84, 88, 91
Since the number of data points in the upper half is also odd, the median (Q3) will be the middle value, which is 88.
So, in this data set:
Q1 = 83
Q3 = 88
Remember that the first quartile (Q1) represents the value below which 25% of the data falls, and the third quartile (Q3) represents the value below which 75% of the data falls.