Maliyah lives in a city where the average monthly rent for a 1-bedroom apartment is $1,200 with a standard deviation of $150 She recently found an apartment for $1,050 per month. What is the z -score for the rent of Maliyah's apartment? Use the following formula to calculate z -score: z is equal to the fraction with numerator x minus mu and denominator sigma where x is the data point, μ is the mean, and σ is the standard deviation.
Answer
A
negative 1 point 5 - no response given
B
negative 1 point 0 - correct
C
1 point 0 - no response given
D
0 - no response given
Explanation
Use z = (x − μ) / σ. Here, x = $1,050, μ = $1,200, and σ = $150, so z = ($1,050 − $1,200) / $150 = −$150 / $150 = −1.0. Therefore, the correct choice is negative 1.0.
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