Measures of central tendency and variation
 

Measures of central tendency and variation problem 8


Two teams of runners, the Eagles and the Swifts, took part in an event. The recorded times in seconds for 20 runners from the Eagles and 30 runners from the Swifts are denoted by and respectively. It is given that and that the mean of the times taken by all 50 runners is 8.54. It is also known that the standard deviation of the times taken by all 50 runners is 1.38 seconds. Find the value of , correct to 1 decimal place.


 

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