Median of a data is 52.5 and its mean is 54, use empirical relationship between three measures of central tendency to find its mode.

Give one example of a situation in which : (i) The mean is an appropriate measure of central tendency. (ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

The following table shows the ages of the patients admitted in a hospital during a year: Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Write the relationship connecting three measures of central tendencies. Hence find the median of the given data if mode is 24.5 and mean is 29.75

Find median of the data, using an empirical relation when it is given that Mode =12.4 and Mean = 10.5.

A coil in the shape of an equilateral triangle of side 0.02 m is suspended from a vertex such that it is hanging in a vertical plane between the pole pieces of a permanent magnetic producing a horizontal magnetic field of 5 xx 10^-2T . Find the torque acting on the coil when a current of 0.1 ampere is passed through it and the magnetic field is parallel to its plane.

Find the mean of the data using an empirical formula when it is given that mode is 50.5 and median in 45.5.