Question 31
Question: The median of the following scores arranged in ascending order is 24. Find x: 11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41.
Answer: Since the scores are in ascending order,
11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41
Here n = 10 (even)
Cross - multiplying,
48 = x + 2 + x + 4
48 = 2x + 6
2x = 42
x = 21
Question 32
Question: Find the mean of the first five odd natural numbers.
Answer: The first five odd natural numbers =1+3+5+7+9=25
n=5
Mean=5
Question 33
Question: The weight in kgs of 9 boys are as follows:
54, 59, 63, 53, 73, 49, 50, x, 45. If the average weight is 56 kg, find x.
Answer: 
x = 504 - 446
x = 58
Question 34
Question: Calculate the arithmetic mean for the following data:
70, 120, 100, 102, 88, 89, 79, 96.
Answer: 
n = 8
Mean = 93
Question 35
Question: Find the median for the following set of scores:
35, 31, 29, 30, 31.5, 45, 25, 26, 33.5.
Answer: 25, 26, 29, 30, 31, 31.5, 33.5, 35, 45
n = 9 (odd)
= 5th score = 31
