What is the interquartile range of the data shown in the box plot?

48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82


  1. The interquartile range of the data shown in the box plot is 14.
    In descriptive facts, the interquartile range is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the midspread, center 50%, fourth unfold, or H‑unfold. Its miles are defined as the difference between the 75th and 25th percentiles of the records.
    To find the interquartile range (IQR), ​first, discover the median (middle price) of the lower and top 1/2 of the information. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
    If you have a set containing the information points 1, 3, five, 7, eight, 10, eleven, and 13, the primary quartile is 4, the second one quartile is 7.5 and the 0.33 quartile is 10.5. Draw these factors on various lines and you may see that those three numbers divide the number line in quarters from 1 to 13.
    To find the Interquartile Range (IQR) you need to subtract points Q1 from Q3.
    The ends of the box are the Q1 and Q3 points.
    Q3 = 80
    Q1 = 66
    80-66= 14
    Learn more about the interquartile range here


Leave a Comment