answewr the statsitixal measures and create a box and whiskers plot fornthe followikf set of data 3,3,4,5,5,5,8,9,10,10,11,11,15,15

Answer 1

The statistical measures for the given set of data are as follows:

Mean: 7.93
Median: 8
Mode: 5
Range: 12
Variance: 15.63
Standard Deviation: 3.95

To create a box and whisker plot for this data set, we first need to sort the data in ascending order: 3, 3, 4, 5, 5, 5, 8, 9, 10, 10, 11, 11, 15, 15

The box and whisker plot displays the five-number summary: minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum.

Min: 3
Q1: 5
Median: 8
Q3: 11
Max: 15

The box will be drawn from Q1 to Q3, with a line indicating the median at 8. The whiskers will extend from the box to the minimum (3) and maximum (15) values.