Question
A factory produces a mean of 100 units per day over 2 days. On the 3rd day, the production was 121 units. What is the mean number of units produced per day for all 3 days?
Answers
GPT-4o mini
To find the mean number of units produced per day over all 3 days, we start by calculating the total production over the 3 days.
Given:
- The mean production for the first 2 days is 100 units.
- Therefore, the total production for the first 2 days is:
\[
\text{Total for 2 days} = \text{Mean} \times \text{Number of days} = 100 \times 2 = 200 \text{ units}
\]
On the 3rd day, the production was 121 units.
Now we sum up the production from all 3 days:
\[
\text{Total production for 3 days} = \text{Total for 2 days} + \text{Production on 3rd day} = 200 + 121 = 321 \text{ units}
\]
Next, we calculate the mean production over all 3 days:
\[
\text{Mean for 3 days} = \frac{\text{Total production for 3 days}}{\text{Number of days}} = \frac{321}{3}
\]
Calculating the above expression:
\[
\frac{321}{3} = 107
\]
Thus, the mean number of units produced per day for all 3 days is \( \boxed{107} \).
Given:
- The mean production for the first 2 days is 100 units.
- Therefore, the total production for the first 2 days is:
\[
\text{Total for 2 days} = \text{Mean} \times \text{Number of days} = 100 \times 2 = 200 \text{ units}
\]
On the 3rd day, the production was 121 units.
Now we sum up the production from all 3 days:
\[
\text{Total production for 3 days} = \text{Total for 2 days} + \text{Production on 3rd day} = 200 + 121 = 321 \text{ units}
\]
Next, we calculate the mean production over all 3 days:
\[
\text{Mean for 3 days} = \frac{\text{Total production for 3 days}}{\text{Number of days}} = \frac{321}{3}
\]
Calculating the above expression:
\[
\frac{321}{3} = 107
\]
Thus, the mean number of units produced per day for all 3 days is \( \boxed{107} \).