Question

below are two representations of data. which statement about a and b is true? a: 2,5,5,6,6,6,7,8,9 b: box - and - whisker plot with values on y - axis: 3, 4, 5, 6, 7, 8, 9, 10, 11 and median marked on the box a) median of a > median of b b) range of a < range of b c) upper quartile of a < upper quartile of b d) lower quartile of a > lower quartile of b

Explanation:

Step1: Calculate range for A

For data - set A: 2, 5, 5, 6, 6, 6, 7, 8, 9. Range = maximum - minimum. Maximum = 9, minimum = 2. Range of A = 9 - 2=7.

Step2: Determine range for B from box - and - whisker plot

In a box - and - whisker plot, the range is the difference between the maximum and minimum values. From the box - and - whisker plot of B, the maximum value is 10 and the minimum value is 4. Range of B = 10 - 4 = 6.

Step3: Compare ranges

Since 7>6, range of A > range of B.

Answer:

B. range of A > range of B