Interquartile Range
What Is Interquartile Range? When analyzing data through a graph, there are a variety of different quantities that can provide an insight into the trends in the data. A graph is divided into four equal parts, each of which is known as a quarter. Q1 is the part that represents the middle value of the first half of the data. It is one-quarter of the whole data. You can also refer to it as 25% of the entire data set. Q2 is the median of the entire data. The value that lies exactly at one-half of the data. You can also refer to it as 50% of the whole data set. Q3 is the middle value of the second half of the data. It is three-fourth of the data, and you can refer to it as 75% of the entire data. The interquartile range is the measurement of where the middle fifty of the data lies. It is calculated by subtracted one-fourth value of the data, Q1, from the three-fourth value of the data, Q3. Interquartile range (IQR)=Q3-Q1. To calculate IQR, you have to find out Q1 and Q3. Q1=1/4×total frequency. The value corresponding to this value is the Q1 of the data. Q3=3/4 × total frequency. The value corresponding to this value is the Q3 of the data. You subtract Q1 from Q3, and you get IQR!
Aligned Standard: Grade 6 Statistics - SP.B.5C
- Determining Interquartile Ranges Lesson- We go over the basic sorting system used at this grade level.
- Interquartile Range - Practice Worksheet 1 - We highlight harder problems in version 4.
- Story Based Interquartile Ranges Worksheet 1 - In these we give the problem purpose by giving you some context for the data.
- Answer Keys - These are for all the unlocked materials above.
- IQR Worksheet 2 - Calculate the median, quarter one, quater three, and the interquartile range.
- IQR Worksheet 3 - Another go around with it.
- IQR Worksheet 4 These are helpful to make sense of the process for solving these types of problems.
- Story Based IQR Worksheet 2 - Susan weighed all of her pets to determine the following information. The weights in pounds were as follows {22,100,1,12,25,13}.
- Story Based IQR Worksheet 3 - Jordan went fishing and recorded the weights of each fish that he and his friend Cole caught. Jordan: {24,10,16,38,16,42}. Cole: {4,10,12,8,5,11}
- Story Based IQR Worksheet 4 - Ann had a party and invited guests from all around. She decided to record the miles traveled by each attendee.
- Interquartile Range- Quiz 1 - The quizzes follow a unique format.
- Interquartile Range- Quiz 2 - The number of students riding the activity bus varied each Friday. Here are the totals from week to week.