Question

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day: | Age (in years) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | |----------------|-------|-------|-------|-------|-------|-------| | Number of patients | 60 | 42 | 55 | 70 | 53 | 20 | Form: (i) Less than type cumulative frequency distribution. (ii) More than type cumulative frequency distribution.

A survey regarding heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained: | Heights (in cm) | Number of girls | |-----------------|------------------| | less than 140 | 04 | | less than 145 | 11 | | less than 150 | 29 | | less than 155 | 40 | | less than 160 | 46 | | less than 165 | 51 | Find the median height of girls. If mode of the above distribution is 148.05, find the mean using empirical formula.