Question

3. The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47 (1) Find the mode and median of this data. (ü) Is there more than one mode?​

Answer 1

Let us arrange the data in ascending order32,35,36,37,38,38,38,40,42,43,43,43,45,47,50.i) Mode = 38 and 43 as they occured the maximum number of timesMedian = \left(\frac{n+1}{2}\right)^{th}\(2n+1)th n = 15\frac{15\ +\ 1}{2}215 + 1= \frac{16}{2\ }\ =\ 8th\ term2 16 = 8th term8th term = 40Thus, mode of the data is 38 and 43Median = 40ii) Yes, the given data has two modes