Higher November 2023 Paper 6 Q19

OCRHigherCurrent spec5 marksCumulative FrequencyGrouped Data

19 A fitness centre records how long each customer spends in the gym.
This cumulative frequency table summarises the results.

Time (t minutes)Cumulative frequency
\(t \leqslant 10\)6
\(t \leqslant 20\)24
\(t \leqslant 30\)35
\(t \leqslant 40\)48
\(t \leqslant 50\)60
\(t \leqslant 60\)74
    
    
    
    
    
    
    

Calculate an estimate of the mean time the customers spend in the gym.
You must show your working.
You may use the table above to help present your work. [5]

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