When [tex]1213[/tex] is included in the given data set there is an increase in the new mean value compared to the original mean.
" Mean of the data is defined as the ratio of the sum of all the observations of data set to the total number of observations in the data set."
Formula used
Mean [tex]= \frac{Sum of all the observation}{n}[/tex]
[tex]n=[/tex]total number of observation
According to the question,
Given data set,
[tex]34, 75, 26, 81, 65, 38, 49[/tex]
Total number of observations [tex]'n' = 7[/tex]
Substitute the value in the formula of mean we get,
Original Mean [tex]= \frac{34 + 75 + 26 + 81 + 65 + 38 + 49}{7}[/tex]
[tex]= \frac{368}{7}\\ \\= 52.57[/tex]
Include [tex]1213[/tex] in the data set
New mean [tex]= \frac{34 + 75 + 26 + 81 + 65 + 38 + 49 + 1213}{8}[/tex]
[tex]= \frac{1581}{8} \\\\= 197.625[/tex]
From the observation of the New mean and old mean, we conclude that
there is an increase in the new mean.
Hence, when [tex]1213[/tex] is included in the given data set there is an increase in the new mean value compared to the original mean.
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