The median and mode of the 61 values of a variable are 17 and 19 respectively. Later on, it is seen that one of the value is wrongly taken as 13, the correct value of which is 16. Find the correct values of median and mode.

Explanation

If we arrange 61 values of the variable in ascending or descending order, than by definition, the 1st i.e., the 31st value is the median . The wrong number is 13. So, if we arrange the values in ascending order, then its order of value will be below the 31th value. So, the median = 31 value will remain the same. Mode is the value of the variable with highest frequency. Therefore, if any other values of the variable be changed, then the mode will remian unchanged. So, the mode remains 19.