Data:
- Mid value: 20, 30, 40, 50, 60, 70
- Male c. f: 12, 25, 42, 46, 48, 50

Calculation:
To find the median, we need to arrange the data in ascending order.

Arranging the mid values in ascending order: 20, 30, 40, 50, 60, 70
Arranging the male c. f in ascending order: 12, 25, 42, 46, 48, 50

To calculate the median, we need to find the cumulative frequency (c.f), which shows the number of observations up to a particular value.

Step 1: Find the cumulative frequency (c.f)
- Mid value: 20, 30, 40, 50, 60, 70
- Male c.f: 12, 25, 42, 46, 48, 50

The cumulative frequency for mid values is as follows:
20: 12
30: 12 + 25 = 37
40: 37 + 42 = 79
50: 79 + 46 = 125
60: 125 + 48 = 173
70: 173 + 50 = 223

The cumulative frequency for male c.f is as follows:
12: 12
25: 12 + 25 = 37
42: 37 + 42 = 79
46: 79 + 46 = 125
48: 125 + 48 = 173
50: 173 + 50 = 223

Step 2: Identify the median class
The median class is the class interval in which the median lies. It is the class with a cumulative frequency greater than or equal to half of the total frequency.

In this case, the total frequency is 223/2 = 111.5.

Looking at the cumulative frequency, we can see that the median lies in the class interval 50-60, as the cumulative frequency 125 is greater than 111.5.

Step 3: Calculate the median
To calculate the median, we can use the following formula:

Median = L + ((N/2 - F)/f) * C

Where:
L = lower limit of the median class (50 in this case)
N = total frequency (223 in this case)
F = cumulative frequency of the class before the median class (125 in this case)
f = frequency of the median class (48 in this case)
C = width of the class interval (10 in this case)

Using the formula, we can calculate the median as follows:

Median = 50 + ((111.5 - 125)/48) * 10
= 50 + (-13.5/48) * 10
= 50 + (-0.28125) * 10
= 50 - 2.8125
= 47.1875

Therefore, the median of the given data is approximately 47.1875.

Median =35