Question

HELP!!! The box plots compare the ages of dancers in two different dance troupes.​

Answer 1

See below ~

Explanation:

Minimum Value for Group A (farthest left) : 17

Maximum Value for Group B (farthest right) : 29

Median for Group A (line in the box) : 21

Range for Group B (farthest right - farthest left) : 29 - 18 = 11

Interquartile Range for Group A (farthest right in box - farthest left in box) :

24 - 20 = 4

Upper Quartile for Group B (farthest right in box) : 26

Answer 2

Min value Group A = 17

Max value Group B = 29

Median Group A = 21

Range Group B = 11

Interquartile range Group A = 4

Upper quartile Group B = 26

Explanation:

Minimum value = dot to the very left

Lower quartile = left vertical line of the box

Median = middle vertical line of the box

Upper quartile = right vertical line of the box

Maximum value = dot to the very right

From inspection of the given box plots:

Group A

Minimum value = 17

Lower quartile (Q₁) = 20

Median (Q₂) = 21

Upper quartile (Q₃) = 24

Maximum value = 26

Group B

Minimum value = 18

Lower quartile (Q₁) = 21.5

Median (Q₂) = 23.5

Upper quartile (Q₃) = 26

Maximum value = 29

Interquartile range (IQR) = Q₃ - Q₁

Range = maximum value - minimum value

Solution

Min value Group A = 17

Max value Group B = 29

Median Group A = 21

Range Group B = 29 - 18 = 11

Interquartile range Group A = 24 - 20 = 4

Upper quartile Group B = 26