Respuesta :

RogersJustin12

Answer:

Mean: 5.6428571428571

Median: 5

Step-by-step explanation:

The mean is 5.64 and the median is 5 for the given data. This can be obtained by using formula for mean and median.

What is the formula for mean and median?

For finding mean and median the data should be in ascending order,

  • The formula for mean is,

Mean = sum of observations / total number of observations

  • The formula for median is,

When 'n' is odd, Median = [tex](\frac{n+1}{2})^{th}term[/tex]

When 'n' is even, Median =  [tex]\frac{(\frac{n}{2})^{th} term +(\frac{n}{2}+1)^{th} term }{2}[/tex]  , where n is the number of observations.

Calculate the mean and median:

First write the data in ascending order,

2,2,3,4,4,5,5,5,6,6,7,9,10,11

  • By using the formula for mean we can write,

Mean = [tex]\frac{2+2+3+4+4+5+5+5+6+6+7+9+10+11}{14}[/tex] =79/14 = 5.64

  • Since n is even, Median =  [tex]\frac{(\frac{n}{2})^{th} term +(\frac{n}{2}+1)^{th} term }{2}[/tex], where n=14, (n/2) th term, that is, 7th term is 5 and (n/2 + 1)th term, that is, 8th term is 5.

Median=(5 + 5 )/2 = 5

Hence the mean is 5.64 and the median is 5 for the given data.

Learn more about mean and median here:

brainly.com/question/2401311

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