An insurance institute conducted tests with crashes of new cars traveling at 6 m

Question

An insurance institute conducted tests with crashes of new cars traveling at 6 mi/h. The total cost of the damages was found for a simple random sample of the tested cars and listed below. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Do the different measures of center differ very much?

$7 comma 3927,392

$4 comma 9274,927

$9 comma 1249,124

$6 comma 4456,445

$4 comma 2524,252

a. The mean is

$nothing .

(Type an integer or a decimal.)

$7 comma 3927,392

$4 comma 9274,927

$9 comma 1249,124

$6 comma 4456,445

$4 comma 2524,252

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Explanation / Answer

Solution:

Given data are:

$ 3927, $ 9274, $ 1249, $ 4456, $ 2524

(a)

Mean= ($3927 + $9274 + $1249 + $4456 + $2524)/5 = $4286

(b)

Ascending order of data is : $1249, $2524, $3927, $4456, $9274

So, Median is $3927

(c)

There is no mode.

(d)

Mid - range = ($1249 + $9274 )/2 =$ 5261.5

The different measure of center do not differ by very large amounts.

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