Answer :
The mean mass, per bag of the maize is 98.6 kg.
Given,the masses in kg of 20 bags of maize were:
90,94,96,98,99,402,105,91,102,99,105,94,99,90,94,99,98,96,102 and 105.
The assumed mean of the given data is 96 kg. We need to find the mean mass, per bag of the maize.
First we calculate the deviation of each observation from the assumed mean, i.e., 96 kg.
Deviation = Observation - Assumed mean
We can calculate the deviation of each observation from the assumed mean as follows:
It is observed that one of the observation is much higher than the other observations, i.e., 402.
This indicates that there might be a typing error.
Lets replace 402 with 102 which is close to the values of other observations. Therefore, the corrected data is:
90,94,96,98,99,102,105,91,102,99,105,94,99,90,94,99,98,96,102 and 105.
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