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Interquartile Range

.SP.B.5C
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Grade 6 Statistics - .SP.B.5C

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!

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