Exercise 13.3: Median of Grouped Data

The median of the data 3, 8, 5, 7, 6 (when arranged in order) is:

The median from an ogive can be found at the intersection of 'less than' and 'more than' ogives. At what frequency does this occur?

Find the mode of: | Class | $100-120$ | $120-140$ | $140-160$ | $160-180$ | $180-200$ | | Freq | 12 | 14 | 8 | 6 | 10 |

In a frequency distribution, the sum of $f_i x_i = 420$ and $\sum f_i = 30$. The mean is:

In the step deviation method, if $a = 30$, $h = 10$, $\sum f_i u_i = -12$, and $\sum f_i = 40$, find the mean.

In the median formula, $M = l + \frac{N/2 - cf}{f} \times h$, what does $f$ represent?

The mean of the following distribution is 50. Find the missing frequencies $f_1$ and $f_2$ if total frequency is 120. | Class | $0-20$ | $20-40$ | $40-60$ | $60-80$ | $80-100$ | | Freq | 17 | $f_1$ | 32 | $f_2$ | 19 |

Find the median from: | Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | | Freq | 5 | 10 | 20 | 15 | 10 | 5 |

Find the mode of: | Class | $0-20$ | $20-40$ | $40-60$ | $60-80$ | $80-100$ | with frequencies 10, 35, 52, 61, 42.

In an examination, the mean marks of 50 students is 60. Later, two students' marks were misread as 40 and 90 instead of 50 and 60. The corrected mean is: