ti( Homework: HW #3 Sections 3.1-3.3 Save es Score: 0 of 1 pt 8 of 40(9 complete

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ti( Homework: HW #3 Sections 3.1-3.3 Save es Score: 0 of 1 pt 8 of 40(9 complete) Score: 17.5%,70f 40 pts , Question Help Find the (a) mean, (b) median, (C) mode, and (d) midrange for the data and then (e) answer the given question. ents Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? ook unch 255 185 247 250 220 295 273 200 185 236 295 a. Find the mean. or The mean ispound(s) Type an integer or a decimal rounded to one decimal place as needed.) edia TV ons Enter your answer in the answer box and then click Check Answer rse Tools 4 parts Clear A heck An remaining

Explanation / Answer

We have given data as

255, 185, 247, 250, 220, 295, 273, 200, 185, 236, 295

So ascending order of data is

185, 185, 200, 220, 236, 247, 250, 255, 273, 295, 295

Mean= (185+185+200+220+236+247+250+255+273+295+295)/11

=2641/11= 240.0909

= 240.1

a) So mean= 240.1

b) median :

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

Here number of observations are 11

So median is (n+1)/2= 12/2= 6 th observation in arranged data.

Here 247 is the 6th observation in arranged data.

So Median= 247

c) mode:

The mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Here 185 &295 both are occurring twice in our data.

That is 185 & 295 occurring most frequently

So there are two modes

Mode : 185 & 295

d) Range:

Range= (smallest value+ largest value)/2

= (185+295)/2= 480/2= 240

Mid-range= 240

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