Pls attempt all parts for Upvo

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January 18th, 2023

Pls attempt all parts for Upvote

a) The median incomes of females in each stateof the United States, including the District of Columbia and PuertoRico, are given in table #2.2.10 (“Median income of,” 2013). Createa frequency distribution, relative frequency distribution, andcumulative frequency distribution using 7 classes.

Table #2.2.10: Data of Median Income forFemales

$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

b) Create a histogram and relative frequencyhistogram for the data in table #2.2.10.

Describe the shape and any findings you can from the graph.

c) Create a histogram and relative frequencyhistogram for the data in table #2.2.12.

Describe the shape and any findings you can from the graph.Section 2.3

Table #2.2.12: Data of Health InsurancePremiums

$114	$119	$121	$125	$132	$139
$139	$141	$143	$145	$151	$153
$156	$159	$162	$163	$165	$166
$170	$170	$176	$177	$181	$185
$185	$186	$186	$189	$190	$192
$196	$203	$204	$219	$254	$286

d) Table #2.3.7 contains the value of the houseand the amount of rental income in a year that the house brings in(“Capital and rental,” 2013). Create a scatter plot and state ifthere is a relationship between the value of the house and theannual rental income.

Table #2.3.7: Data of House Value versusRental

Value	Rental	Value	Rental	Value	Rental	Value	Rental
81000	6656	77000	4576	75000	7280	67500	6864
95000	7904	94000	8736	90000	6240	85000	7072
121000	12064	115000	7904	110000	7072	104000	7904
135000	8320	130000	9776	126000	6240	125000	7904
145000	8320	140000	9568	140000	9152	135000	7488
165000	13312	165000	8528	155000	7488	148000	8320
178000	11856	174000	10400	170000	9568	170000	12688
200000	12272	200000	10608	194000	11232	190000	8320
214000	8528	208000	10400	200000	10400	200000	8320
240000	10192	240000	12064	240000	11648	225000	12480
289000	11648	270000	12896	262000	10192	244500	11232
325000	12480	310000	12480	303000	12272	300000	12480

Answer:

a) ### By using Excel:

Class	Frequency	cumulative frequency	relative frequency=frequency/Total
“22000-28000”	1	1	0.0192
“28000-34000”	21	1+21=22	0.4038
“34000-40000”	15	22+15=37	0.2885
“40000-46000”	10	37+10=47	0.1923
“46000-52000”	4	47+4=51	0.08
“52000-58000”	0	51+0=51	0
“58000-64000”	1	51+2=52	0.0192
Total	52		1.0000

Both the graph are notsymmetric, the graph has the long tail towards right side. Hencethe distribution of the data is positively skewed.

Class	Frequency	cumulative frequency	relative frequency=frequency/Total
“110-136”	5	5	0.1389
“136-162”	9	5+9=14	0.2500
“162-188”	13	14+13=27	0.3611
“188-214”	6	27+6=33	0.1667
“214-240”	1	33+1=34	0.03
“240-266”	1	34+1=35	0.0278
“266-292”	1	35+1=36	0.0278
Total	36		1.0000

The shape of the graph isnon-symmetric. The distribution of the data is slightly skewedtowards right.

from the above scatterplot we observe that there is a positivelinear relationship between the value of the house and the annualrental income.

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