Question : Calculate the mean from the following table.
Option 1: 33.4
Option 2: 32.6
Option 3: 35.8
Option 4: 34.2
Correct Answer: 33.4
Solution : The formula for the mean ($X$) using the method of assumed mean is: $X = A + \frac{\sum fd}{\sum f}$ where $A$ is assumed mean, $f$ is frequency, and $d$ is deviation from mean. The assumed mean ($A$) is usually taken as the midpoint of the middle class. In this case, it's 35. The midpoints of the score ranges are 5, 15, 25, 35, 45, 55, and 65. The frequencies are 2, 4, 12, 21, 6, 3, and 2.
The formula for the mean ($X$) using the method of assumed mean is: $X = A + \frac{\sum fd}{\sum f}$ ⇒ $X = 35 + \frac{-80}{50} = 33.4$ Hence, the correct answer is 33.4.
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Question : Directions: Select the missing number from the given responses.
Option 1: 40
Option 2: 30
Option 3: 20
Option 4: 35
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 48
Option 2: 52
Option 3: 40
Option 4: 50
Question : The following table represents the population of four different areas and the percentage of males, females, and children among them.
What is the total number of children in areas P and Q together?
Option 1: 7000
Option 2: 9000
Option 3: 6000
Option 4: 8000
Option 1: 20
Option 2: 16
Option 3: 22
Option 4: 18
Question : Study the given table and answer the question that follows.
The average number of children per family is :
Option 1: 1.47
Option 2: 1.59
Option 3: 1.23
Option 4: 1.72
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