Question

The median of the following data is 16. Find the missing frequencies x and y, if the total of the frequencies is 70.

Class Frequencies
a) 0-5: 12
b) 5-10: 10
c) 10-15: x
d) 15-20: 15

Answer 1

To find the missing frequencies, set up an equation using the total frequency and the sum of the known frequencies. Solve for the missing frequencies to find x and y.

Step-by-step explanation:

To find the missing frequencies, we need to first calculate the total frequency of the known classes. We can do this by summing the frequencies given:

• a) 0-5: 12
• b) 5-10: 10
• c) 10-15: x
• d) 15-20: 15

Adding these frequencies gives us a total of 12 + 10 + x + 15 = 37 + x. Since the total frequencies is given as 70, we can set up the following equation:

37 + x = 70

Solving for x, we subtract 37 from both sides:

x = 70 - 37

x = 33

So the missing frequency for the class 10-15 is 33. Now, to find the missing frequency y, we subtract the sum of the known frequencies (12 + 10 + 33 + 15 = 70) from the total frequency of 70:

y = 70 - 70

y = 0

Therefore, the missing frequency for the class 15-20 is 0.