Question

Find the mean, median and mode of the following frequency distribution:

The following table shows the ages of the patients admitted in a hospital during a month: | Age (in years) | 5 - 15 | 15 - 25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 | |----------------|--------|---------|---------|---------|---------|----------| | Number of patients | 6 | 11 | 21 | 23 | 14 | 5 | Find the mode and the mean of the data given above.

Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer.

The monthly income of 100 families are given as below: | Income (in Rs) | Number of families | |----------------|--------------------| | 0-5000 | 8 | | 5000-10000 | 26 | | 10000-15000 | 41 | | 15000-20000 | 16 | | 20000-25000 | 3 | | 25000-30000 | 3 | | 30000-35000 | 2 | | 35000-40000 | 1 | Calculate the modal income.