A particular fruit's weights are normally distributed, with a mean of 712 grams and a standard deviation of 10 grams. Use GeoGebra to answer the question below. The heaviest 3% of fruits weigh more than how many grams? Give your answer to the nearest whole gram.
A particular fruit's weights are
The heaviest 3% of fruits weigh more than how many grams?
Give your answer to the nearest whole gram.
= ?
Given Information:
A particular fruit's weights are normally distributed, with a mean of 712 grams and a standard deviation of 10 grams.
and
To find the heaviest 3% of fruits weigh more than how many grams:
We want to find the specific gram value for which 3% of the fruits are heavier i.e., 100% - 3% = 97 percentile of standard normal distribution. (Standard normal table, gives area to the left of z-score, nut we want the heaviest 3% which mean area to the right of z-score, so we subtract 3 from total probability 100)
Z-score is a measure which tells how many standard deviations a data value is from the mean. It is given by the formula:
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