Answer :
The box plot for the data, 83, 57, 48, 97, 20, 36, 31, representing the rainfall, in Inches per year, for seven different states is shown below.
What is the box plot?
To find the five-number summary of the given data {83, 57, 48, 97, 20, 36, 31}, we need to arrange the data in ascending order:
20, 31, 36, 48, 57, 83, 97
1. Minimum value: 20
2. Q1 (first quartile): The median of the lower half of the data (excluding the median). In this case, the lower half is {20, 31, 36} and the median of this subset is 31.
3. Q2 (median): The median of the entire dataset. In this case, the median is 48.
4. Q3 (third quartile): The median of the upper half of the data (excluding the median). In this case, the upper half is {57, 83, 97} and the median of this subset is 83.
5. Maximum value: 97
So, the five-number summary of the given data is:
Minimum = 20
Q1 = 31
Q2 = 48
Q3 = 83
Maximum = 97
The box plot for the data, 83, 57, 48, 97, 20, 36, 31, is shown below.
