Question

A student has a mean of 98 minutes of study per day over 2 days. On the 3rd day, the student studied for 113 minutes. What is the mean number of minutes studied per day for all 3 days?

Answer 1

To find the mean number of minutes studied per day for all 3 days, we first need to calculate the total study time for the 3 days.

1. **Calculate the total minutes studied over the first 2 days:**
The mean study time for the first 2 days is 98 minutes. Therefore, the total study time for those 2 days is:
\[
\text{Total for 2 days} = \text{Mean} \times \text{Number of days} = 98 \times 2 = 196 \text{ minutes}
\]

2. **Add the study time for the 3rd day:**
The student studied for 113 minutes on the 3rd day. Thus, the total study time for all 3 days is:
\[
\text{Total for 3 days} = \text{Total for 2 days} + \text{Study time on 3rd day} = 196 + 113 = 309 \text{ minutes}
\]

3. **Calculate the mean study time over all 3 days:**
The mean is given by the total study time divided by the number of days:
\[
\text{Mean for 3 days} = \frac{\text{Total for 3 days}}{3} = \frac{309}{3} = 103 \text{ minutes}
\]

Thus, the mean number of minutes studied per day for all 3 days is **103 minutes**.