## Find the mode of the following distribution of marks obtained by the students in an examination

Find the mode of the following distribution of marks obtained by the students in an examination:

Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median.

Mode = 68

So, the mode marks is 68.

Empirical relationship between the three measures of central tendencies is:

3 Median = Mode + 2 Mean

3 Median = 68 + 2 × 53

Median = 58 marks

15th April 2019

67

## The following frequency distribution shows the distance (in meters) thrown by 68 students in a Javelin throw competition

The following frequency distribution shows the distance (in metres) thrown by 68 students in a Javelin throw competition.

Draw a less than type Ogive for the given data and find the median distance thrown using this curve.

Median distance is value of x that corresponds to

Cumulative frequency N/2 = 68/2 = 34

Therefore, Median distance = 36 m

10th April 2019

81