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GENDER: Gender of participants: 1: Boys, 2: Girls ESCALEDS: English Language Art Test administered by the local state. CLASSINT: Categorized version of the ESCALEDS: Intermediate:

GENDER: Gender of participants: 1: Boys, 2: Girls

ESCALEDS: English Language Art Test administered by the local state.

CLASSINT: Categorized version of the ESCALEDS: Intermediate: 1; Proficient: 2

NAEPREAD: NAEP reading test administered nationwide.

  1. how Do I a Create probability density plot with density curve for naepread score and the plot. Is the curve skewed? If it is, is it right-skewed or left-skewed? Is the result in accordance with the naepread's summary statistics (compare mean and median) and why?

Hint: Use codes

hist(final_data[, ' naepread '], breaks=10, probability = TRUE)

lines(density(final_data[, ' naepread']))

answer in R-codes

"gender" "escaleds" "classint" "naepread" "1" 1 200 1 138.420884638679 "2" 1 200 1 127.182295146272 "3" 1 200 1 126.900654770103 "4" 1 200 1 111.424624367611 "5" 2 200 1 108.615344664291 "6" 1 200 1 116.816591569275 "7" 1 200 1 115.873216941691 "8" 1 200 1 141.830392192283 "9" 1 200 1 143.368548770497 "10" 1 200 1 144.658609175981 "11" 1 200 1 132.566796069251 "12" 1 200 1 130.130807988539 "13" 2 200 1 151.55073494976 "14" 2 200 1 117.563327614056 "15" 2 200 1 135.409787077942 "16" 2 200 1 137.170299047881 "17" 2 200 1 87.8327741567965 "18" 1 200 1 157.980084603231 "19" 1 200 1 154.821078896283 "20" 2 214 1 201.81675416584 "21" 1 214 1 234.124566263557 "22" 1 200 1 122.957261269811 "23" 1 200 1 129.00698501199 "24" 2 200 1 141.349003725405 "25" 2 200 1 138.154452714971 "26" 2 200 1 112.940850326861 "27" 1 204 1 153.154803753859 "28" 2 216 1 207.603009225569 "29" 1 214 1 215.945941153311 "30" 1 228 1 253.520414011257 "31" 1 224 1 256.949998386693 "32" 1 204 1 155.525691098007 "33" 2 214 1 212.96744091114 "34" 1 214 1 237.274441985588 "35" 2 212 1 187.516287033252 "36" 2 220 1 218.017591716967 "37" 1 214 1 190.758919109434 "38" 1 206 1 157.284541039944 "39" 1 216 1 183.807094173571 "40" 2 212 1 184.589126255622 "41" 1 210 1 206.092917826875 "42" 2 216 1 211.559926903417 "43" 2 210 1 178.262804900708 "44" 2 220 1 210.05316105109 "45" 1 208 1 152.775078790933 "46" 2 216 1 194.09404876815 "47" 2 234 1 272.11171067677 "48" 1 218 1 208.326630990308 "49" 1 226 1 235.528356610527 "50" 1 220 1 229.98178228155 "51" 1 220 1 227.504805589066 "52" 1 206 1 183.645266485955 "53" 2 214 1 210.417074788048 "54" 2 216 1 195.729258198124 "55" 2 224 1 243.221682276927 "56" 2 220 1 210.651508170682 "57" 2 218 1 212.189500427207 "58" 2 228 1 254.682044867051 "59" 1 220 1 222.9108068133 "60" 2 220 1 228.544973066108 "61" 1 206 1 153.299302992247 "62" 1 206 1 208.834133831179 "63" 1 222 1 218.797504935111 "64" 1 210 1 165.076912473181 "65" 1 214 1 190.399645051171 "66" 2 220 1 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256.638806555127 "580" 1 238 1 318.916613418092 "581" 2 244 2 274.415565140273 "582" 1 238 1 269.853398411091 "583" 2 238 1 287.822075586046 "584" 1 258 2 307.616101064427 "585" 1 246 2 303.771300032739 "586" 1 254 2 300.122536599462 "587" 2 256 2 300.622824524277 "588" 2 252 2 279.772750413952 "589" 1 238 1 243.307516891347 "590" 1 244 2 284.303820833404 "591" 1 246 2 282.877001184695 "592" 1 240 2 269.151922673022 "593" 1 238 1 246.441055186109 "594" 2 242 2 289.020587316661 "595" 2 256 2 288.560840748211 "596" 2 244 2 317.269157557886 "597" 1 244 2 303.906716377457 "598" 2 254 2 319.06865514283 "599" 2 252 2 280.360431089642 "600" 1 246 2 282.418762889213 "601" 2 252 2 296.582952490265 "602" 1 240 2 279.306240801721 "603" 1 242 2 262.392261278135 "604" 1 240 2 300.500278702473 "605" 2 242 2 302.974916157938 "606" 1 244 2 281.093183349108 "607" 2 258 2 326.624104718561 "608" 2 256 2 296.763479440873 "609" 2 254 2 305.921868992365 "610" 1 264 2 337.261295259362 "611" 1 234 1 251.835042389089 "612" 1 236 1 274.730668062542 "613" 2 248 2 293.130364081616 "614" 1 250 2 297.738765310241 "615" 2 250 2 301.583667532923 "616" 1 256 2 316.419978091558 "617" 2 250 2 285.763287395327 "618" 2 246 2 286.279353640708 "619" 1 254 2 313.422445813284 "620" 1 238 1 265.540908024318 "621" 1 238 1 274.074910679194 "622" 2 238 1 256.747866786444 "623" 2 256 2 320.410698099447 "624" 1 256 2 290.836332582288 "625" 1 238 1 265.129467750297 "626" 1 238 1 292.829311904512 "627" 2 236 1 277.341679723596 "628" 1 246 2 281.295496637188 "629" 1 252 2 256.097936878699 "630" 1 238 1 289.430229136775 "631" 2 238 1 282.266600754214 "632" 2 254 2 331.143198061303 "633" 2 258 2 289.626164670127 "634" 2 248 2 343.777520786749 "635" 1 254 2 287.415614220112

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