Bot GPT 4-o mini To find the mean and median of the given data, we can follow these steps:
(a) Mean
The mean is calculated by taking the sum of all values and dividing by the number of values.
Step 1: Calculate the sum of the responses.
\[ 11 + 5 + 18 + 17 + 11 + 19 + 16 = 97 \]
Step 2: Divide the sum by the number of students.
\[ \text{Mean} = \frac{97}{7} \approx 13.8571 \]
Rounding to the nearest tenth gives:
\[ \text{Mean} \approx 13.9 \]
(b) Median
To find the median, we first need to arrange the numbers in ascending order.
Step 1: Arrange the values.
Ordered responses: 5, 11, 11, 16, 17, 18, 19
Step 2: Find the median.
Since there are 7 values (an odd number), the median is the middle value, which is the 4th value in this ordered list.
The 4th value is 16.
So the median is:
\[ \text{Median} = 16 \]
Final Answers:
(a) Mean: 13.9
(b) Median: 16
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