More, less or equal to: Absolute 4 or Absolute 1
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The other endpoint is (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
<u>The expected number of mortgages approved per week</u> :
- <em>Mean = (Σfx ÷ Σf)</em>
Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
<u>The standard deviation</u> :
- <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>
- <em>Standard deviation = √Variance</em>
Variance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
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