1. Find the median of the given statistical distribution:

2. The chart used to find the median of a frequency distribution is called a cumulative frequency curve or ogive.

(a) Statistical line (b) Frequency polygon (c) Bar graph (d) Ogive

3. Given that the combined (weighted) mean of the following frequency distribution is 50 and the total frequency is 120, find the values of \( f_1 \) and \( f_2 \). | Class Interval | 0–20 | 20–40 | 40–60 | 60–80 | 80–100 | |----------------|------|--------|--------|--------|---------| | Frequency | 17 | \( f_1 \) | 32 | \( f_2 \) | 19 |

4. The mean of a statistical distribution is 4.1. Given that \(∑f_i.x_i = 132 + 5k\) and \(∑f_i = 20\), find the value of \(k\).

5. If the median of the following data is 32, find the values of \(x\) and \(y\) given that the total frequency is 100.

6. The graph used to obtain the median of a statistical distribution is the ogive.

7. Let's calculate the difference between the upper boundary of the median class and the lower boundary of the modal class from the given frequency distribution table:

8. Given that the combined mean of the following distribution is 50 and the total frequency is 120, find the values of \(f_1\) and \(f_2\): | Class Interval | 0–20 | 20–40 | 40–60 | 60–80 | 80–100 | |----------------|------|--------|--------|--------|---------| | Frequency | 17 | \(f_1\) | 32 | \(f_2\) | 19 |