107 514
Assignments Done
100%
Successfully Done
In September 2023

# Answer to Question #350950 in Statistics and Probability for sergu

Question #350950

The number of traffic violation recorded by police department for 10 day period is given. Calculate the first quartile, second quartile, third quartile and inter quartile range.

22 19 25 24 18 15 9 12 16 20

1
2022-06-21T12:32:55-0400

Solution:

To find quartiles, we nee to order data set from lowest to highest values:

22 19 25 24 18 15 9 12 16 20

1-9;

2-12;

3-15;

4-16;

5-18;

6-19;

7-20;

8-22;

9-24;

10-25;

1. Find the median. This is the second quartile Q2.
2. At Q2 split the ordered data set into two halves.
3. The lower quartile Q1 is the median of the lower half of the data.
4. The upper quartile Q3 is the median of the upper half of the data.

The median "\\frac{(n+1)}{2}=\\frac{10+1}{2}=5.5;" it means, between 5 and 6 order: 18.5;

"Q_2=18.5;" So, "Q_1=15;" "Q_3=22;"

The Inter quartile range: "IQR=Q_3-Q1=22-15=7;"

"Q_1=15;"

"Q_2=18.5;"

"Q_3=22;"

"IQR=7."

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS