Question

According to the US Census, the percent of residents aged 65 or older in the 50 states and District of Columbia has mean 13.26% and standard deviation of 1.67% Find and interpret the standardized score for the state of Colorado, which had 9.7% of residents age 65 or older.

Answer 1

Answer:

z = -2.13

The standardized score for the state of Colorado is negative and this means the score is smaller than the mean.

Step-by-step explanation:

The above question can be solved using z score.

The formula for z score is given as:

z = (x-μ)/σ,

where

x is the raw score = 9.7%

μ is the population mean = 13.26%

σ is the population standard deviation = 1.67%

z = z score or standardize score

Hence,

z = 9.7 - 13.26/1.67

z = -2.13174

Approximately z = -2.13

Therefore, the standardized z score for the state of Colorado is negative and this indicates that the score is below or smaller than the mean.