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In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65

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Question: In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65. What is the median?

Options:

  1. 50
  2. 55
  3. 60
  4. 65

Correct Answer: 55

Solution:

Arranging the data: 45, 50, 55, 60, 65. Median = 55 (middle value).

In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65

Practice Questions

Q1
In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65. What is the median?
  1. 50
  2. 55
  3. 60
  4. 65

Questions & Step-by-Step Solutions

In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65. What is the median?
  • Step 1: Write down all the marks obtained by the students: 45, 50, 55, 60, 65.
  • Step 2: Count how many marks there are. In this case, there are 5 marks.
  • Step 3: Arrange the marks in order from smallest to largest. They are already in order: 45, 50, 55, 60, 65.
  • Step 4: Find the middle value. Since there are 5 marks, the middle one is the 3rd mark.
  • Step 5: The 3rd mark is 55, so the median is 55.
  • Median Calculation – The median is the middle value of a data set when arranged in ascending order.
  • Data Set Size – Understanding that the median's position depends on whether the number of data points is odd or even.
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