Sec 3/4 E Math T14-Q34 - Estimated mean and standard deviation for grouped data

Sec 3/4 E Math T14-Q34 - Estimated mean and standard deviation for grouped data

Secondary 3
Original parallel to Sec3&4 E Math FA

The table shows grouped journey times.

Time, \(t\) (min)\(0<t\le10\)\(10<t\le20\)\(20<t\le30\)\(30<t\le40\)\(40<t\le50\)
Frequency581495
  1. Calculate an estimate of the mean journey time.
  2. Calculate an estimate of the standard deviation, giving your answers correct to 3 significant figures.

Solution:

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Answer:(a) \(25.244\) min; (b) \(11.788\) min.

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