Question

The box plots represent the distances run by the players in a football match.

Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)

Answer 1

Following are the response to the given question:

Team A:

R = Vmax - Vmin → R = 10.24
`\alpha`8.8 = 1.4

IQR = Q3-Q1 = IQR = 9.09 - 9.5 = 0.4

Team B:

R = 10.4 - 9 = 1.4

IQR 10.1
`\alpha`9.6 = 0.5

Explanation:

Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.

Team A:

R = Vmax - Vmin → R = 10.24
`\alpha`8.8 = 1.4

IQR = Q3-Q1 = IQR = 9.09 - 9.5 = 0.4

Team B:

R = 10.4 - 9 = 1.4

IQR 10.1
`\alpha`9.6 = 0.5

Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.

Answer 2

Following are the response to the given question:

Explanation:

Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.

Team A:

`R=V_(max) -V_(min) \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\`

Team B:

`R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5`

Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.