Can you tell me the inter quartile range please
15 29 31 33 3753 63 92
To find the interquartile range, we first need to find the lower quartile (Q1) and upper quartile (Q3).
The data set given is: 15, 29, 31, 33, 37, 53, 63, 92
To find Q1 and Q3, we need to find the median of the lower half of the data set and the median of the upper half of the data set.
Lower half: 15, 29, 31, 33
Upper half: 37, 53, 63, 92
Median of the lower half = (29 + 31) / 2 = 30
Median of the upper half = (53 + 63) / 2 = 58
Q1 = 30
Q3 = 58
Now, to find the interquartile range, we subtract Q1 from Q3:
Interquartile range = Q3 - Q1
Interquartile range = 58 - 30
Interquartile range = 28
Therefore, the interquartile range of the given data set is 28.
Thank you, I keep getting confused when the amount of numbers change, is there a middle median for this set of numbers or just a upper end lower median?
For a set of numbers with an odd number of values (like the one in your original question), there is only one median value in the middle of the dataset.
In the data set you provided: 15, 29, 31, 33, 37, 53, 63, 92
There are 8 numbers, so the median is the value exactly in the middle when the numbers are arranged in ascending order. In this case, the median is the 4th number, which is 33.
So, for an odd number of values, there is only one median in the middle of the dataset.