Homework Hours: Mode, Median, and Mean with Unknown Frequency

Homework Hours: Mode, Median, and Mean with Unknown Frequency

TGM Original

The number of hours per week spent in doing homework by some students is shown in the table below.

No of hours per week

\(5\)

\(6\)

\(7\)

\(8\)

Frequency

\(2\)

\(5\)

\(6\)

\(x\)

  1. Write down the largest possible value of \(x\) if the mode is \(7\).
  2. Write down the value of \(x\) if the median is \(6.5\).
  3. Calculate the value of \(x\) if the mean is \(7\).
  4. Write down the possible value(s) of \(x\) if the median is \(6\).
  5. Write down the value of \(x\) if the modes are \(7\) and \(8\).

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Answer:(a) \(x=5\) (b) \(x=1\) (c) \(x=9\) (d) \(x=0\) (e) \(x=6\)

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