In a box and whisker plot outlier is the data value that should be less than the [lower quartile - (1.5 x IQR)] or greater than the [upper quartile + (1.5 x IQR)].

IQR = upper quartile - lower quartile

In the box and whisker plot all the values are between 82 and 106. So, there is no value less than 75 or greater than 115.

So, in the data there is no outlier.

The number of customers who visited the super market each hour are 15, 10, 12, 9, 18, 5, 8, 9, 15, 10 and 11.

The ascending order of the above data set is: 5, 8, 9, 9, 10, 10, 11, 12, 15, 15,18.

The least value in the above list of data is 5 and the greatest value is 18.

Middle quartile = median of the data = 10.

Lower quartile = median of lower half of the data = 9.

Upper quartile = median of upper half of the data = 15.

So, among the plots, plot 4 is the equivalent box-and-whisker plot for the data.

Median of a given data is equal to the middle quartile value in its equivalent box-and-whisker plot.

From the box-and-whisker plot, the middle quartile value = 80.

So, the median speed of the car = 80 miles/ hour.

From the box-and-whisker plot, least value = 10 and middle quartile = 50.

The difference between the middle quartile and the least value = middle quartile - least value

From the box and whisker plot, lower quartile is 7 and upper quartile is 11.

Outlier for the box and whisker plot is the value less than (lower quartile- 1.5 x IQR) or the value greater than (upper Quartile +1.5 x IQR).

IQR for the box and whisker plot = 11 - 7 = 4

For being the outlier, the data value must be less than 1 or greater than 17.

There is no such value in the plot as the least value of the plot is 5 and the highest value is 16.

So, there is no outlier for the box and whisker plot.

The ascending order of the above data set is 8, 10, 12, 13, 14, 17, 17, 21, 23, 28, 30.

The lower quartile is the median of the data values from the least value to the middle quartile.

The box in a box-and-whisker plot always starts from the lower quartile value.

The lower quartile of the box-and-whisker plot = 48.

From the box-and-whisker plot, the greatest value is 18.2 and the least value is 16.1

Range = Greatest value - Least value

Range of the given data = 18.2 - 16.1 = 2.1

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

Arrange the given data in ascending order
25, 25, 30, 35, 40, 40, 40, 50, 50, 75

Lower quartile = 30
Upper quartile = 50

Interquartile range = upper quartile - lower quartile

So, the interquartile range for the given data is 20.

Interquartile range is the difference between the upper quartile and the lower quartile.

Interquartile range = upper quartile - lower quartile

So, the interquartile range of the scores given is 6.5.

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

Arrange the given data in ascending order
2,3,5,8,9,9,10,10,11,12,13

Lower quartile = 5
Upper quartile = 11

Interquartile range = upper quartile - lower quartile

So, the interquartile range for the given data is 6.

Interquartile range is the difference between upper quartile and lower quartile of a data set.

Label lower and upper quartiles in the given figure as shown below.

Upper quartile in the above figure = 12.5.
Lower quartile in the above figure = 17.5.

Interquartile range = upper quartile - lower quartile

= 17.5 - 12.5

= 5

Therefore, interquartile range in the given figure is 5.

A sample is a part of the population.

In a random sample, each object in the population has an equal chance of being selected.

Selecting few grades and asking few students is random sampling.

So, the best sampling method used by Micky is 'Select a few grades, and ask few students in each grade'.