Question

In: Statistics and Probability

Please show work The median incomes of females in each state of the United States, including...

Please show work

The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in following table ("Median income of," 2013).

$31,862

$40,550

$36,048

$30,752

$41,817

$40,236

$47,476

$40,500

$60,332

$33,823

$35,438

$37,242

$31,238

$39,150

$34,023

$33,745

$33,269

$32,684

$31,844

$34,599

$48,748

$46,185

$36,931

$40,416

$29,548

$33,865

$31,067

$33,424

$35,484

$41,021

$47,155

$32,316

$42,113

$33,459

$32,462

$35,746

$31,274

$36,027

$37,089

$22,117

$41,412

$31,330

$31,329

$33,184

$35,301

$32,843

$38,177

$40,969

$40,993

$29,688

$35,890

$34,381

Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes and answer the following questions:

a. What is the frequency associated with the THIRD class?

b. What is the frequency associated with the FIFTH class?

c. What is the relative frequency associated with the THIRD class? Express answer as decimal rounded to nearest hundredth (two places after decimal). Examples of correctly entered answers are:

0.05

0.37

0.60

1.00

d. What is the relative frequency associated with the FIFTH class? Express answer as decimal rounded to nearest hundredth (two places after decimal). Examples of correctly entered answers are:

0.05

0.37

0.60

1.00

e. What is the cumulative frequency associated with the SEVENTH class?

HINT

Class Limits

Class Boundaries

Class Midpoint

Tally

Frequency

Relative Frequency

Cumulative Frequency

22117-27576

22116.5-27576.5

24847

27577-33036

27576.5-33036.5

30307

33037-38496

33036.5-38496.5

35767

38497-43956

38496.5-43956.5

41227

43957-49416

43956.5-49416.5

46687

49417-54876

49416.5-54876.5

52147

54877-60336

54876.5-60336.5

57607

Sum of tallies column MUST equal total number of scores!

Sum of frequencies column MUST equal total number of scores!

Sum of relative frequencies column MUST equal 100% or 1 (due to rounding decimals, you may not get “1” exactly)

Solutions

Expert Solution

Following is the completed table:

a. What is the frequency associated with the THIRD class?

Answer: 21

b. What is the frequency associated with the FIFTH class?

Answer: 4

c. What is the relative frequency associated with the THIRD class? Express answer as decimal rounded to nearest hundredth (two places after decimal). Examples of correctly entered answers are:

Answer: 0.40

d. What is the relative frequency associated with the FIFTH class? Express answer as decimal rounded to nearest hundredth (two places after decimal). Examples of correctly entered answers are:

Answer: 0.08

e. What is the cumulative frequency associated with the SEVENTH class?

Answer: 52

orchestra answered 2 years ago
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