Answer :
the answer is 67.33. Multiply 68 by 50, subtract 82 and 86 from that, then divide by 48
Answer:
The new mean rounded to the nearest hundredth is:
67.33
Step-by-step explanation:
The mean height of 50 students is: 68 inches.
Let [tex]a_1,a_2,.....,a_{50}[/tex] be the height of 50 students.
Let us suppose that:
[tex]a_{49}=82\ inches\\\\and\ a_{50}=86\ inches[/tex]
Hence, we have:
[tex]\dfrac{a_1+a_2+.....+a_{49}+a_{50}}{50}=68\\\\\\i.e.\\\\\\a_1+a_2+a_{49}+a_{50}=68\times 50\\\\\\a_1+a_2+.....+82+86=3400\\\\\\a_1+a_2+...+a_{48}=3400-168\\\\\\a_1+a_2+....+a_{48}=3232\\\\\\Hence\ mean\ of\ 48\ students\ is:\\\\\\\dfrac{a_1+a_2+a_3+....a_{48}}{48}=\dfrac{3232}{48}\\\\\\\dfrac{a_1+a_2+a_3+....a_{48}}{48}=67.33[/tex]
Hence, after deleting the outlier the mean of the remaining students is:
67.33