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To solve this problem, we need to calculate the mean of the rent before and after the rent change.

### Step 1: Calculate the Mean Before the Rent Change

The rents provided are:
\[
990, 879, 940, 1010, 950, 920, 1430
\]

To find the mean, sum these values and then divide by the number of tenants (7).

#### Sum of the rents:
\[
990 + 879 + 940 + 1010 + 950 + 920 + 1430 = 7119
\]

#### Mean before the change:
\[
\text{Mean} = \frac{7119}{7} = 1017
\]

### Step 2: Calculate the Mean After the Rent Change

Now, one of the tenants' rent changes from 1430 to 1115. We need to adjust the total sum to reflect this change.

#### New sum of the rents:
\[
7119 - 1430 + 1115 = 5804
\]

#### Mean after the change:
\[
\text{Mean} = \frac{5804}{7} = 972
\]

### Answer:
The correct answer is:
- **Before the rent changes, the mean is $1017. After the rent changes, the mean is $972.**

This matches the third option.

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Would you like further details on this solution or have additional questions?

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Here are some related questions to deepen understanding:
1. What is the median rent before and after the change?
2. How does the mode of this data set change with the rent adjustment?
3. What effect does a single large change in one data point have on the mean in general?
4. Can you calculate the range of the rents before and after the change?
5. How would the mean change if two rents were adjusted instead of one?

**Tip:** When working with means, remember that they are sensitive to extreme values (outliers), which can significantly shift the average.

The data set below provides the monthly rent (in dollars) paid by 7 tenants: 990, 879, 940, 1010, 950, 920, 1430. Suppose the rent for one of the tenants changes from 1430 to 1115. What is the mean before and after the rent change?

Learn how to calculate the mean of a data set representing rent amounts before and after a change. This problem involves calculating the mean of rent paid by 7 tenants and analyzing the effect of a rent adjustment from $1430 to $1115. Ideal for students in Grades 9-12, covering statistical concepts such as mean and data analysis.

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