Asked by William McGinnis on Jun 19, 2024
Verified
Suppose that the average amount of sugar a person eats per year is 7 kg with a standard deviation of 1.5 kg.How many standard deviations from the mean is the consumption of 11 kg of sugar?
A) About 1.33 standard deviations above the mean
B) About 1.33 standard deviations below the mean
C) About 4.67 standard deviations above the mean
D) About 2.67 standard deviations above the mean
E) About 2.67 standard deviations below the mean
Standard Deviation
A statistical measure that quantifies the amount of variation or dispersion of a set of values.
Average Amount
Similar to mean, it represents the central value of a data set by calculating the sum of all numbers in the set divided by the quantity of numbers.
Sugar
A sweet-tasting, soluble carbohydrate found in many plants and used as a sweetener in food and beverages.
- Be introduced to the concept and calculation strategies of standard deviations from the mean.
Verified Answer
MH
Madeline HushagenJun 20, 2024
Final Answer :
D
Explanation :
To find how many standard deviations from the mean a value is, subtract the mean from the value and divide by the standard deviation: (11 kg - 7 kg) / 1.5 kg = 4 / 1.5 = About 2.67 standard deviations above the mean.
Learning Objectives
- Be introduced to the concept and calculation strategies of standard deviations from the mean.