whole point of the things is to find patterns
Answer:
So the quartiles are:
Q1 = 56
Q2 = 59
Q3 = 63
Explanation:
First, I'll sort the data set:
54 54 55 56 56 58 58 59 59 60 61 63 63 63 63 79
To find the quartiles:
- Q1 is the median of the lower half of the data. The lower half is:
54 54 55 56 56 58 58 59
The median of this set is 56.
- Q2 is the median of the entire data set. With 19 values, the median is the 10th value when sorted, which is 59.
- Q3 is the median of the upper half of the data. The upper half is:
59 59 60 61 63 63 63 63 79
The median of this set is 63.
So the quartiles are:
Q1 = 56
Q2 = 59
Q3 = 63
b. Find the interquartile range.
The interquartile range (IQR) is the difference between the third and first quartiles.
Q3 = 63
Q1 = 56
IQR = Q3 - Q1
= 63 - 56
= 7
So the interquartile range is 7.
c. Identify any outliers.
To identify outliers using the IQR, we can use the following criteria:
Lower outlier limit: Q1 - 1.5*IQR = 56 - 1.5*7 = 44.5
Upper outlier limit: Q3 + 1.5*IQR = 63 + 1.5*7 = 79.5
Based on this, the only value outside the limits is 79. Therefore, 79 is an outlier in the data set.