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In a data set of 10 numbers, if the numbers are arranged in ascending order, wha

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Question: In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)

Options:

  1. Average of 5th and 6th
  2. 5th number
  3. 6th number
  4. Average of 1st and 10th

Correct Answer: Average of 5th and 6th

Exam Year: 2020

Solution: 

For an even number of observations, the median is the average of the two middle numbers, which are the 5th and 6th numbers.

In a data set of 10 numbers, if the numbers are arranged in ascending order, wha

Practice Questions

Q1
In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)
  1. Average of 5th and 6th
  2. 5th number
  3. 6th number
  4. Average of 1st and 10th

Questions & Step-by-Step Solutions

In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)
  • Step 1: Arrange the 10 numbers in ascending order from the smallest to the largest.
  • Step 2: Identify the positions of the middle numbers. Since there are 10 numbers, the middle numbers are the 5th and 6th numbers.
  • Step 3: Find the values of the 5th and 6th numbers in the ordered list.
  • Step 4: Calculate the average of the 5th and 6th numbers by adding them together and dividing by 2.
  • Step 5: The result from Step 4 is the median of the data set.
  • Median Calculation – The median is the middle value of a data set when arranged in order. For an even number of observations, it is the average of the two central numbers.
  • Data Arrangement – Understanding how to arrange numbers in ascending order is crucial for accurately finding the median.
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