Daphnesoneja67idn
Answered

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Find the mean, median and mode of the data set: 8, 11, 6, 14, 14, 13. Write your answer on the space below.

please help me I need it right away​

Sagot :

Clavo107802130017idn

Answer:

mean:33

median:12

mode:1

mean need average

median need middle

Joy13333333idn

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]

  1. MEAN – 13
  2. MEDIAN – 14
  3. 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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