QUESTIONS:
Find the mean, median and mode of the data set: 8, 11, 6, 14, 14, 13. Write your answer on the space below.
[tex]\underline{ \underline{{ \boxed{\boxed{ \orange{ \rm{ \bold{ANSWERS:}}}}}}}} \\ [/tex]
- MEAN – 13
- MEDIAN – 14
- MODE – 14
[tex]\underline{ \underline{{ \boxed{\boxed{ \orange{ \rm{ \bold{SOLUTION:}}}}}}}} \\ [/tex]
1. MEAN – This is also called the average
[tex] \rm{mean = \frac{sum\:of \: terms}{no.of \: terms(n)} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: = \rm{\frac{8 + 11 + 6 + 14 + 14 + 16}{5} }\\ = \frac{66}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{\boxed{ \rm{= \orange{13.2 \: or \: 13} }}}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, the mean of the data set: 8, 11, 6, 14, 14, 13 is 13.
2. MEDIAN - This is the middlè
[tex]\underline{ \underline{{ \boxed{\boxed{ \orange{ \rm{ \bold{FORMULA:}}}}}}}} \\ [/tex]
[tex] \underline{ \boxed{ \rm{m = \frac{1}{2} + (n + 1)}}}[/tex]
[tex] \rm{m = \frac{1}{2} + (n + 1) }\\ \: \: \: \: \: = \rm{\frac{1}{2} + (6 + 1) } \\ = \: \: \: \: \: \rm{\frac{1}{2} + 7 }\\ \underline{ \boxed{ \rm{= \orange{3.5 \: or \: 4}}}} \: [/tex]
Therefore, the median of the data set: 8, 11, 6, 14, 14, 13 is 14.
3. MODE – This is the number móst repeated times in the series.
14 – 2x repeated
Therefore, the mode of the data set: 8, 11, 6, 14, 14, 13 is 14.
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