Question

# Find the mean, median, range, variance and standard deviation of the data set below. The data...

Find the mean, median, range, variance and standard deviation of the data set below. The data represent the fixed monthly costs for Sam's Linen Service.

 Monthly charges Monthly cost (\$) Bank charges 482 Cleaning 2208 Food 1750 Computer expenses 2471 Lease payments 2656 Grounds fees 1475 Postage 2117 Uniforms 2600 Delivery fuel 955

Following table shows the ordered data set and calculations for variance:

 S.NO. Monthly cost (\$), X (X-mean)^2 1 482 1890927.512 2 955 813802.4521 3 1475 146008.0521 4 1750 11472.5521 5 2117 67542.8121 6 2208 123123.7921 7 2471 376860.9321 8 2600 551885.5521 9 2656 638225.2321 Total 16714 4619848.889

Sample size: n =9

Median: It is middle value of ordered data set. That is median will be 5th data value. So median is 2117.

Range:

Maximum - Minimum = 2656 - 482 = 2174

Mean:

Variance:

The standard deviation is:

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