A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is fairly normal, how many cans will weigh over 14.7 ounces?

Question

Mathematics

Briana Waller

12 December, 19:43

A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is fairly normal, how many cans will weigh over 14.7 ounces?

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Jesse Mendez · Answer 1

This is an example of a normal distribution. An average weight is 14 ounces and a standard deviation is 0.7 ounces.

14.7 = 14 + 0.7 = Average + 1 Standard Deviation.

It means that the percent of cans that will weigh over 14.7 ounces is:

100% - (50 % + 34 %) = 100% - 84% = 16%

16% of 100 cans: 16/100 * 100 = 16.

Answer: 16 cans.