SOLUTION: The average number of calories in a regular-size bagel is 240. If the standard deviation is 38 calories, find the range in which at least 75% of the data will lie. Use Chebyshev's

Question 717757: The average number of calories in a regular-size bagel is 240. If the standard deviation is 38 calories, find the range in which at least 75% of the data will lie. Use Chebyshev's Theorem.
Answer by Positive_EV(69) (Show Source): You can put this solution on YOUR website!
Chebyshev's Theorem states that at least 1 - 1/k^2 of the observations will be within k standard deviations of the mean. We want the range that 75% of data lie in, so set this equal to 75%:

.75 = 1 - 1/k^2
1/k^2 = .25
4 = k^2
k = 2

Thus, it can be shown that at least 75% of the observations will lie between +/- 2 standard deviations from the mean. The range is (240 +/- 2*38) = 164 to 316 Calories.
RELATED QUESTIONS
a low-calorie waffle has 100 calories in a 2-slice serving. This is 10% fewer than the... (answered by jim_thompson5910)

A reporter bought hamburgers at randomly selected stores of two different restaurant... (answered by )

A brisk walk at 5 miles per hour,burns an average of 250 calories per hour. If the... (answered by ewatrrr)

A low-claorie bread has 114 in a 3 slice serving, this is 20% fewer than then number of... (answered by josmiceli)

A brisk walk at a 6 km per hour, burns an average of 300 calories per hour. If the... (answered by CPhill)

pepperidge farm light style 7 grain bread has140 calories in a 3-slice serving. this is... (answered by stanbon)

A brisk walk at a 6 km per hour, burns an average of 300 calories per hour. If the... (answered by ikleyn)