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The set of data below represent the number of runs scored by a youth baseball team over the course of a season.
Team: 4, 8, 5, 12, 3, 9, 5, 2 Which set of statements about the data is true?

1)Mean < Standard Deviation
2)First Quartile < Standard Deviation
3)Median > Mean
4)Mean > Standard Deviation

Respuesta :

vijayhalder031

The correct answer will be option (3) Median > Mean

Concept

  • First we will find the mean, median and standard deviation of given data
  • After finding mean, median and standard deviation we will compare them to find the correct answer

How to solve this problem?

The steps are as follow:

  • The runs scored by youth baseball team over the course of a season is : 4, 8, 5, 12, 3, 9, 5, 2
  • Mean is given as follow:

[tex]x \: = \frac{4 + 8 + 5 + 12 + 3 + 9 + 5 + 2}{8} \\ x = 6[/tex]

  • So the mean will be 6
  • Arranging the given observation 2,3,4,5,5,8,9,12
  • To find the median the total number observation is 8 which is even so formula to find median will be:

[tex][tex]m = \frac{ { (\frac{n}{2}) }^{th} obs + ( { \frac{n}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (\frac{8}{2}) }^{th} obs + ( { \frac{8}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (4) }^{th} obs + ( { 5)}^{th} obs }{2} \\ m= \frac{ { 5} + 5}{2} \\ m = 5[/tex][/tex]

So the correct answer will be option (3) Median > Mean

Learn more about mean and median here:

https://brainly.com/question/13741558

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