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

Answers

Answer 1

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

ConceptFirst we will find the mean, median and standard deviation of given dataAfter 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, 2Mean is given as follow:

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

So the mean will be 6Arranging the given observation 2,3,4,5,5,8,9,12To 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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P.S - The exact question is -

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