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Find the mean for the following frequency tables

Short Answer

Expert verified

Meanofgrade=79.5Meanofdailylowtemperature=60.9356Meanofpointspergame=70.6628

Step by step solution

01

Given information

Given the frequency tables.

02

Explanation

Grade
LCBUCBMid point (x)Frequency (f)x×f
49.559.554.52109
59.56.9564.53193.5
69.579.574.58596
79.589.584.5121014
89.599.594.55472.5


Total302385

So mean of grade is

∑i=15x*f∑i=15f=238530=79.5
Daily low temperature
LCBUCBMid point (x)Frequency (f)x×f
49.559.554.5532888.5
59.569.564.5322064
69.579.574.5151117.5
79.589.584.5184.5
89.599.594.500


Total1016154.50

So mean of Daily low temperature is

∑i=15x*f∑i=15f=6154.5101=60.9356

Points per Game
LCBUCBMid point (x)Frequency (f)x×f
49.559.554.514763
59.569.564.5322064
69.579.574.5151117.5
79.589.584.5231943.5
89.599.594.52189


Total866077

So mean of points per game is∑i=15x*f∑i=15f=607786=70.6628

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