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sasho [114]
3 years ago
15

Mrs. Hall records the height of 50 students in a spreadsheet the mean height is 68 inches after looking at the data again she re

alize that two of the 50 observations were outliers that must have been typos 82 and 86 inches she deleted these two observations what is the new mean rounded to the nearest hundredth
Mathematics
2 answers:
Anastasy [175]3 years ago
6 0
The answer is 67.33. Multiply 68 by 50, subtract 82 and 86 from that, then divide by 48
Andru [333]3 years ago
6 0

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 a_1,a_2,.....,a_{50} be the height of 50 students.

Let us suppose that:

a_{49}=82\ inches\\\\and\ a_{50}=86\ inches

Hence, we have:

\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

Hence, after deleting the outlier the mean of the remaining students is:

                                        67.33

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