Here are the prices for 8 different MP3 players. Find the standard deviation.
$195 $358 $201 $276 $161 $301 $387 $128
Round to one decimal place.
A) 329.5
B) 144.5
C) 94.1
D) 238.5

Question

Quizplus · Accepted Answer

94.1To find the standard deviation, first, calculate the mean (average) of the prices: (195 + 358 + 201 + 276 + 161 + 301 + 387 + 128) / 8 = 2007 / 8 = 250.875. Then, find the variance by calculating the average of the squared differences from the Mean: [(195-250.875)^2 + (358-250.875)^2 + (201-250.875)^2 + (276-250.875)^2 + (161-250.875)^2 + (301-250.875)^2 + (387-250.875)^2 + (128-250.875)^2] / 8 = 70568.875 / 8 = 8821.109375. Finally, take the square root of the variance to get the standard deviation: sqrt(8821.109375) ≈ 94.0, rounded to one decimal place gives 94.1.

Here Are the Prices for 8 Different MP3 Players