contestada

The cumulative relative frequency graph describes the
distribution of median household incomes in the 50 states in a
recent year. Given are summary statistics for the state median
household incomes. New Jersey had a standardized score of
1.82.
Find New Jersey's median household income for that
year.
$51,742.44
$36,799.08
$64,952.36
$66,685.80
O $51,740.62
80
60
-
Cumulative relative frequency (%)
40
20
0
35 40 45 50 55 60 65 70 75
Median household income ($1000s)
11
Mean SD Min
Med Q3 Max
50 51,742.44 8210.64 36,641 46,071 50,009 57,020 71,836

Respuesta :

Using z-scores, it is found that the New Jersey's median household income for that  year was of $66,685.80 .

--------------------------------

The z-score for a measure X in a data-set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

  • The mean is of $51,742.44, thus [tex]\mu = 51742.44[/tex].
  • The standard deviation is of $8,210.64, thus [tex]\sigma = 8210.64[/tex].
  • The standardized score for the median New Jersey household income is [tex]Z = 1.82[/tex], thus, this measure is of X.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.82 = \frac{X - 51742.44}{8210.64}[/tex]

[tex]X - 51742.44 = 1.82(8210.64)[/tex]

[tex]X = 66685.60[/tex]

Then, the New Jersey's median household income for that  year was of $66,685.80 .

A similar problem is given at https://brainly.com/question/16645591

Otras preguntas