Maddy had four tests this week. Her scores were 78, 85, 75, and 92.(1 point) What is the MEAN of her test scores? Do not round your answer. What is the MEDIAN of her test scores? Do not round your answer.

Answer 1

To calculate the mean and median of Maddy's test scores, we'll first list her scores: 78, 85, 75, and 92.

Step 1: Calculate the Mean

The mean is calculated by adding all the scores together and then dividing by the number of scores.

1. Sum of the Scores: \( 78 + 85 + 75 + 92 = 330 \)

2. Number of Scores: There are 4 scores.

3. Mean Calculation: \[ \text{Mean} = \frac{\text{Sum of Scores}}{\text{Number of Scores}} = \frac{330}{4} = 82.5 \]

Step 2: Calculate the Median

The median is the middle number in a sorted list of numbers. First, we need to sort the scores:

Sorted scores: 75, 78, 85, 92

Since there are 4 scores (an even number), the median will be the average of the two middle numbers.

1. Middle Scores: The two middle scores are 78 and 85.

2. Median Calculation: \[ \text{Median} = \frac{78 + 85}{2} = \frac{163}{2} = 81.5 \]

Final Answers

• Mean: 82.5
• Median: 81.5