To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $663, $273, $410, $622, $174, $374 Find the standard deviation for the given data.

Question

Mathematics

Mike Harrington

13 June, 03:15

To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $663, $273, $410, $622, $174, $374 Find the standard deviation for the given data.

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Answers (1)

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Slim · Answer 1

Step-by-step explanation:

The prices he was quoted are listed below: $663, $273, $410, $622, $174, $374

We would first determine the mean.

Mean = sum of terms in the data / number of terms in the data.

Sum of terms =

663 + 273 + 410 + 622 + 174 + 374

= 2516

Number of terms = 6

Mean = 2516/6 = 419.33

Standard deviation = √summation (x - m) ^2/n

summation (x - m) ^2/n = (663 - 429.33) ^2 + (273 - 419.33) ^2 + (410 - 419.33) ^2 + (622 - 419.33) ^2 + (174 - 419.33) ^2 + (374 - 419.33) ^2

= 179417.9334/6 = 29902.9889

Standard deviation = √29902.9889

= 172.9