Question

There are 100 houses in a housing estate.

40 are terraced houses.
50 are semi-detached houses.
The rest are detached houses.
The table shows the mean number
of bedrooms for each type of house.
Terraced- 2.2
Semi-detached- 2.9
Detached- 3.7
Work out the mean number of bedrooms per house in this housing estate.

Answer 1

The mean number of bedrooms per house in the housing estate is calculated by multiplying the number of each type of house by its mean number of bedrooms, adding them together, and dividing by the total number of houses, resulting in an average of 2.7 bedrooms per house.

Step-by-step explanation:

To calculate the mean number of bedrooms per house in the housing estate, you can use the given information about the number of each type of house and the mean number of bedrooms for each type. Since 40 houses are terraced with an average of 2.2 bedrooms, 50 houses are semi-detached with an average of 2.9 bedrooms, and the remaining 10 houses are detached with an average of 3.7 bedrooms, you can do the following calculation:

1. Multiply the number of each type of house by the mean number of bedrooms for that type.
2. Add the results together to find the total number of bedrooms in the estate.
3. Divide the total number of bedrooms by the total number of houses to find the overall mean.

Using these steps:

• Terraced: 40 houses × 2.2 bedrooms = 88 bedrooms
• Semi-detached: 50 houses × 2.9 bedrooms = 145 bedrooms
• Detached: 10 houses × 3.7 bedrooms = 37 bedrooms

Adding these together:

88 + 145 + 37 = 270 bedrooms in total for all 100 houses.

Now, calculate the mean:

270 bedrooms ÷ 100 houses = 2.7 bedrooms per house on average.

So, the mean number of bedrooms per house in the housing estate is 2.7.