Week 2 Homework Problems

Letticia Solomon 2.2.2 The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in the table. Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes. Data of Median Income for Females $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 Range 60332-22,117=38,215/7=5459 Relative Frequency= frequency/40 Class Limits Tally Frequency Relative Frequency Cumulative Frequency 22117-27576 1 1 0.025 1 27577-33036 12345678910 10 0.25 11 33037-38036 12345678910111213141516 16 0.4 27 38497-43956 12345678 8 0.2 35 43957-49416 1234 4 0.1 39 49417-54876 0 0 0 39 54877-60336 1 1 0.025 40 Total 40 40 1 2.2.6 Create a histogram and relative frequency histogram for the data given in problem 2.2.2. Describe the shape and any findings you can from the graph. STAT200 Week 2 Homework

22117-27576 27577-33036 33037-38036 38497-43956 43957-49416 49417-54876 54877-60336 0 2 4 6 8 10 12 14 16 18 Histogram Median Income for Females 1 10 16 8 4 0 1 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 Relative Frequency Median Income for Females Relative Frequency These charts show that the data look the same when looking at the median income and the relative frequency. The median income for females in this given set is between $33037-$38036. The shape shows that the income declines on the left and right and the median contains the most females. 2.3.4 The Table shows the value of the house and the amount of rental income in a year that the house brings in . Create a scatter plot and state if there is a relationship between the value of the house and the annual rental income.

Mar-2009 118.7 Jun-2009 111.9 Sep-2009 87.0 Dec-2009 86.1 Mar-2010 83.4 Jun-2010 85.7 Sep-2010 74.8 Dec-2010 76.0 Mar-2011 75.7 Jun-2011 75.9 Sep-2011 75.2 Dec-2011 87.9 Mar-2012 91.0 Jun-2012 90.1 Sep-2012 83.9 Dec-2012 95.8 Mar-2013 90.5 Mar-09 Jun-09 Sep-09 Dec-09 Mar-10 Jun-10 Sep-10 Dec-10 Mar-11 Jun-11 Sep-11 Dec-11 Mar-12 Jun-12 Sep-12 Dec-12 Mar-13 0 20 40 60 80 100 120 140 Date vs RBA Assets Bank Assets at RBA were at its highest in 2009, a drop occurred in 2010, another slight drop in 2011, a slight rise in 2012, and another slight rise in 2013 3.1.2

The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in the table. Find the mean, median, and mode. Lengths of Rivers (km) Flowing to Pacific Ocean River Length (km) Clarence 210 Conway 48 Waiau 169 Hurunui 138 Waipara 64 Ashley 100 Waimakariri 161 Selwyn 95 Rakaia 145 Ashburton 90 48,64,90,95,100,138,145,161,169,210 Mean-122 Median-119 (138+100/2) Mode-no mode 3.1.8 State which type of measurement scale each represents, and then which center measures can be used for the variable? a.) You collect data on the height of plants using a new fertilizer. ratio b.) You collect data on the cars that people drive in Campbelltown, Australia. nominal c.) You collect data on the temperature at different locations in Antarctica. interval d.) You collect data on the first, second, and third winner in a beer competition. ordinal 3.1.12 An employee at Coconino Community College (CCC) is evaluated based on goal setting and accomplishments toward goals, job effectiveness, competencies, CCC core values. Table below shows weight and score for a specific employee Weight Score goal 1 20% 2 .4 goal 2 20% 2 .4 goal 3 10% 4 .4 job effectiveness 25% 3 .75 competency 1 4% 2 .08 competency 2 3% 3 .09 competency 3 3% 2 .06 competency 4 5% 3 .15 core values 10% 4 .4 Total 2.73

138 122 16 256 145 122 23 529 161 122 39 1521 169 122 47 2209 210 122 88 7744 23,336/10=2333.6 3.2.6 Print-O-Matic printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in the table below: Monthly charges Monthly cost ($) Bank charges 482 Cleaning 2208 Computer expensive 2471 Lease payments 2656 Postage 2117 Uniforms 2600 a.) Find the mean and median. 482,2117,2208,2471,2600,2656 Mean-2089 Median-2339.5 (2208+2471/2) b.) Find the range Range-2174 (2656-482) c.) Find the variance and standard deviation. Variance-554321 x mean x-mean x-mean^2 482 2089 -1607 2582449 2208 2089 119 14161 2471 2089 382 145924 2656 2089 567 321489 2117 2089 28 784

2600 2089 511 261121 3,325,928/6 Standard Deviation- 744.527 (square root of variance 554321)