A fast food restaurant is having a game for its customers. Each time a customer

Question

A fast food restaurant is having a game for its customers. Each time a customer visits, he or she gets one game card. The probability of winning a prize on a single card is 0.25. For customers who play the game 10 times, the mean number of times the customer wins is 2.5 and the standard deviation is approximately 1.4. Interpret the value of the standard deviation. All people who play the game 10 times will win 2.5 plus or minus 1.4 times. The typical variation between the number of times people win the game in 10 tries and the mean is 1.4 times. About 68% of people who play the game will win between 1.1 below the mean and 1.1 above the mean. The standard deviation does not have a meaningful interpretation because it is impossible to win the game 1.1 times.

Explanation / Answer

The correct interpretation of standard deviation will be:

The typical variation between the number of times people win the game in 10 tries and the mean is 1.4 times.

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