Answer:
a) Minimum value = 8
b) Maximum value = 88
c) Median(Q2) = 64
d) First Quartile (Q1) = 32
e) Third Quartile (Q3) = 80
Step-by-step explanation:
Before we can create Box plot for any given data, we have to find out certain parameters
8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.
a) Minimum value = 8
b) Maximum value = 88
c) Median(Q2)
The formula is given as:
1/2(n + 1)th value
n = 26
Median = 1/2(26 + 1)
= 1/2(27)the value
= 13.5th value
This means the median is average the 13th value and 14th value
= 64 + 64/2 = 128/2 = 64
d) The First Quartile
The formula is given as:
1/4(n + 1)th value
n = 26
Median = 1/4(26 + 1)
= 1/4(27)th value
= 6.75th value
Approximately = 7th value
This means the first quartile isn 7th value
e).The Third Quartile
The formula is given as:
3/4(n + 1)th value
n = 26
Median = 3/4(26 + 1)
= 3/4(27)th value
= 20.25th value
Approximately = 20.25th value
This means the Third quartile is the 20th value
= 80
Now we can draw the box plot. Please kindly find attached the diagram of the box plot.
Answer:
The Box Plot
Step-by-step explanation:
First, You have to find
a) Lower Extreme = 8
b) Upper Extreme = 88
c) Median = 64
d) First Quartile = 32
e) Third Quartile = 80
After finding them, mark on the graph
The Box Plot file is uploaded
