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Monthly Motorcycle Casualties. This Scottish Executive Analytical Services Division Transport Statics. compiles data on motorcycle casualties .During one year, monthly casualties resulting from motorcycle accidents in Scotland for built up road and non built up road were as follows,

Part (a) Without doing any calculations, make an educated guess at which of the two data sets, built up or non built or non built up has the greater variation.

Pat (b) Find the range and sample standard deviation of each of the two data sets, Compare your results here to the education guess that you made in part (a)

Short Answer

Expert verified

Part (a) The variation in the non-build-up data set is greater.

Part (b) The given data has a range and standard deviation of 65 and 16,98, respectively.

Step by step solution

01

Part (a) Step 1. Given information.

The set's data points are:

25, 38, 38, 56, 61, 52, 50, 90, 67, 51, 64, 40

02

Part (a) Step 2. the data has a greater variation.

A data set's range is given by range = max-min.

The formula computes the standard deviation.

s=xi2-xi2/nn-1

Because it has a higher maximum and a lower minimum, the non-build up data set has more variation.

As a result, the non-build up data set has more variation.

03

Part (b) Step 1. Given information.

The set's data points are:

25, 38, 38, 56, 61, 52, 50, 90, 67, 51, 64, 40

04

Part (a) Step 2. The range and standard deviation of the given data.

A data set's range is given by range = max-min.

The formula computes the standard deviation.

s=xi2-xi2/nn-1

A data set's range is given by range = max-min.

Range

=90-25=65

As a result, the data set's range is 65.

The mean of the given data set.

x=25+38+38+56+61+52+50+90+67+51+64+4012x=63212x52.6667

Standard deviation

=xi-x2n-1=3174.666721-116.98

As a result, the given data's range and standard deviation are 65 and 16.98, respectively.

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