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Question
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.
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3 of 43 of 4 Items
Question
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.
Skip to navigation
Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Answers
GPT-4o mini
To find the mean and median of Maddy's test scores, we will start by identifying her scores:
- Test scores: 78, 85, 75, 92
### 1. Mean Calculation
The mean is calculated by adding all the scores together and then dividing by the number of scores.
**Step 1: Add the scores together:**
\[ 78 + 85 + 75 + 92 = 330 \]
**Step 2: Divide by the number of scores (4):**
\[ \text{Mean} = \frac{330}{4} = 82.5 \]
### 2. Median Calculation
The median is the middle value when the scores are arranged in order. If there is an even number of scores, the median is the average of the two middle numbers.
**Step 1: Arrange the scores in ascending order:**
\[ 75, 78, 85, 92 \]
**Step 2: Find the two middle scores (since there are 4 scores, the 2nd and 3rd scores):**
- Middle scores: 78 and 85
**Step 3: Calculate the average of these two middle scores:**
\[ \text{Median} = \frac{78 + 85}{2} = \frac{163}{2} = 81.5 \]
### Final Answers:
- Mean: 82.5
- Median: 81.5
- Test scores: 78, 85, 75, 92
### 1. Mean Calculation
The mean is calculated by adding all the scores together and then dividing by the number of scores.
**Step 1: Add the scores together:**
\[ 78 + 85 + 75 + 92 = 330 \]
**Step 2: Divide by the number of scores (4):**
\[ \text{Mean} = \frac{330}{4} = 82.5 \]
### 2. Median Calculation
The median is the middle value when the scores are arranged in order. If there is an even number of scores, the median is the average of the two middle numbers.
**Step 1: Arrange the scores in ascending order:**
\[ 75, 78, 85, 92 \]
**Step 2: Find the two middle scores (since there are 4 scores, the 2nd and 3rd scores):**
- Middle scores: 78 and 85
**Step 3: Calculate the average of these two middle scores:**
\[ \text{Median} = \frac{78 + 85}{2} = \frac{163}{2} = 81.5 \]
### Final Answers:
- Mean: 82.5
- Median: 81.5