Question: The pizza Palace recorded the number of extra toppings added to each pizza. a. Compute the Standard deviation. b. Compute the mean

The pizza Palace recorded the number of extra toppings added to each pizza. a. Compute the Standard deviation. b. Compute the mean Round off the answer to three decimal places. 0 1 2 3 Number of Toppings 5 15 30 40 Percentage of Purchaces.

The pizza Palace recorded the number of extra toppings added to each pizza. a. Compute the Standard deviation. b. Compute the mean Round off the answer to three decimal places. 0 1 2 3 Number of Toppings 5 15 30 40 Percentage of Purchaces

Answer:

a. Compute the Standard deviation.

Step 1: Find the mean

The mean is the sum of all the values divided by the number of values.

Mean = (0 * 5 + 1 * 15 + 2 * 30 + 3 * 40) / (5 + 15 + 30 + 40) = 1.75

Step 2: Find the squared deviations from the mean

The squared deviation from the mean is the difference between a value and the mean, squared.

Number of toppingsValueDeviation from the meanSquared deviation from the mean
05-1.753.0625
115-0.750.5625
2300.250.0625
3400.750.5625

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Step 3: Find the variance

The variance is the average of the squared deviations from the mean.

Variance = (3.0625 + 0.5625 + 0.0625 + 0.5625) / 4 = 1.0625

Step 4: Find the standard deviation

The standard deviation is the square root of the variance.

Standard deviation = sqrt(1.0625) = 1.03

Therefore, the standard deviation is 1.03.

b. Compute the mean

The mean is the sum of all the values divided by the number of values.

Mean = (0 * 5 + 1 * 15 + 2 * 30 + 3 * 40) / (5 + 15 + 30 + 40) = 1.75

Therefore, the mean is 1.75.

Summary

  • Standard deviation: 1.03
  • Mean: 1.75

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