Mathematics
Grade6
Easy

Question

An interquartile range is

  1. The difference between the upper and lower quartiles
  2. The measure of the middle half of the data
  3. A measure of variability
  4. All the above

hintHint:

The interquartile range (IQR) is the difference between the upper quartile and the lower quartile.

The correct answer is: All the above


    Step 1 of 1:

    Here, Q3 = third (or, upper) quartile and Q1 = first (or, lower) quartile
    IQR = Q3 - Q1
    So, the statements are as follows:
    • IQR is the difference between upper and lower quartiles
    • It defines the middle half (the box part) of the boxplot (i.e., the data)
    • It measures the spread of the data around the median, viz., the variability from the median
    Final Answer:
    The right choice is-- d. All the above

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