In a survey, the following scores were recorded: 45, 55, 65, 75, 85, 95. What is

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Question: In a survey, the following scores were recorded: 45, 55, 65, 75, 85, 95. What is the median score?

Options:

Correct Answer: 75

Solution:

Arrange the scores: 45, 55, 65, 75, 85, 95. The median is the average of the 3rd and 4th values: (65 + 75) / 2 = 70.

In a survey, the following scores were recorded: 45, 55, 65, 75, 85, 95. What is the median score?

In a survey, the following scores were recorded: 45, 55, 65, 75, 85, 95. What is the median score?

Step 1: Write down the scores from the survey: 45, 55, 65, 75, 85, 95.
Step 2: Arrange the scores in order from smallest to largest. They are already in order: 45, 55, 65, 75, 85, 95.
Step 3: Count how many scores there are. There are 6 scores.
Step 4: Since there is an even number of scores (6), find the two middle scores. The middle scores are the 3rd score (65) and the 4th score (75).
Step 5: Calculate the average of the two middle scores: (65 + 75) / 2.
Step 6: Add the two middle scores: 65 + 75 = 140.
Step 7: Divide the sum by 2 to find the average: 140 / 2 = 70.
Step 8: The median score is 70.

Median Calculation – The median is the middle value in a sorted list of numbers. If there is an even number of observations, the median is the average of the two middle numbers.