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If one number in a data set is changed, will this affect the mean of the given collection of data? |
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Answer» Given : One NUMBER in a DATA set is changed To Find : will this AFFECT the mean of the given collection of data Solution: Mean = Sum of all observations / number of observations If One number in a data set is changed then Sum of observation is changed but number of observations are same Hence Mean will be changed by change in observation / number of observations Example 2 3 5 7 8 Mean = (2 + 3 + 5 + 7 + 8)/5 = 25/5 = 5 3 is changed to 4 => Mean = ( 2 + 4 + 5 + 7 + 8)/5 = 26/5 = 5.2 If Data is grouped data then mean is not changed if changed data is still in the same group but Mean is changed if changed number is in other group If one number in a data set is changed this will affect the mean of the given collection of data Learn More: for a given data 2,3,5,6,9 if observation 6.9 are replaced by 4 and 11 ... If the first quartile is 142 and the semi-interquartile range is 18, find ... Nia recorded her science and MATH scores. The measures of CENTER ... |
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