Step: 1

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)].

Step: 2

IQR = upper quartile - lower quartile

= 100 - 90 = 10

[upper quartile = 100 and lower quartile = 90.]

Step: 3

Lower quartile - (1.5 x IQR) = 90 - (1.5 x 10) = 75

[Substitute and subtract.]

Step: 4

Upper quartile + (1.5 x IQR) = 100 + (1.5 x 10) = 115

[Substitute and simplify.]

Step: 5

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.

Step: 6

So, in the data there is no outlier.

Correct Answer is : No outlier

Step: 1

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

Step: 2

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

Step: 3

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

Step: 4

Middle quartile = median of the data = 10.

Step: 5

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

Step: 6

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

Step: 7

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

Correct Answer is : Plot 4

Step: 1

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

Step: 2

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

Step: 3

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

Correct Answer is : 80 miles/ hour

Step: 1

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

Step: 2

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

= 50 - 10

= 40

= 40

Correct Answer is : 40

Step: 1

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

[Lower quartile is the median of the lower half and upper quartile is the median of the upper half of data set.]

Step: 2

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 = inter quartile range = upper quartile - lower quartile.]

Step: 3

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

[Subtract lower quartile value from upper quartile value.]

Step: 4

(Lower Quartile - 1.5 x IQR) = 7 - 1.5 x 4 = 7 - 6 = 1

Step: 5

Upper Quartile + 1.5 x IQR = 11 + 1.5 x 4 = 11 + 6 = 17

Step: 6

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

Step: 7

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

Step: 8

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

Correct Answer is : No outlier

Step: 1

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

Step: 2

The middle quartile = Median of the entire data set = 17

Correct Answer is : 17

Step: 1

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

Step: 2

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

Step: 3

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

Correct Answer is : 48

Step: 1

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

Step: 2

Range = Greatest value - Least value

Step: 3

Range of the given data = 18.2 - 16.1 = 2.1

[Subtract.]

Correct Answer is : 2.1

Step: 1

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

Step: 2

Arrange the given data in ascending order

25, 25, 30, 35, 40, 40, 40, 50, 50, 75

25, 25, 30, 35, 40, 40, 40, 50, 50, 75

Step: 3

Lower quartile = 30

Upper quartile = 50

Upper quartile = 50

Step: 4

Interquartile range = upper quartile - lower quartile

= 50 - 30 = 20

Step: 5

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

Correct Answer is : 20

Step: 1

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

Step: 2

Step: 3

Interquartile range = upper quartile - lower quartile

= 21 - 13.5 =
6.5

Step: 4

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

Correct Answer is : 6.5

Step: 1

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

Step: 2

Arrange the given data in ascending order

2,3,5,8,9,9,10,10,11,12,13

2,3,5,8,9,9,10,10,11,12,13

Step: 3

Step: 4

Lower quartile = 5

Upper quartile = 11

Upper quartile = 11

Step: 5

Interquartile range = upper quartile - lower quartile

= 11 - 5 = 6

Step: 6

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

Correct Answer is : 6

Step: 1

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

Step: 2

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

Step: 3

Upper quartile in the above figure = 12.5.

Lower quartile in the above figure = 17.5.

Lower quartile in the above figure = 17.5.

Step: 4

Interquartile range = upper quartile - lower quartile

Step: 5

= 17.5 - 12.5

[From step 3.]

Step: 6

= 5

[Subtract.]

Step: 7

Therefore, interquartile range in the given figure is 5.

Correct Answer is : 5

Step: 1

A sample is a part of the population.

Step: 2

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

Step: 3

Selecting few grades and asking few students is random sampling.

Step: 4

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

Correct Answer is : Select a few grades, and ask few students in each grade.

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- Data
- Range (Of Data)