Following are the published weights (in pounds) of all of the team members of Fo

Question

Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year. 176; 202; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 Organize the data from smallest to largest value. Part (a) Find the median. 241 E Part (b) Find the first quartile. (Round your answer to one decimal place.) 211 Part (c) Find the third quartile. (Round your answer to one decimal place.) 276

Explanation / Answer

Ans:

Sort the above data in ascending order:

a)Median is the middle data:

Median=241

b)First quartile is below which 25% of the data falls.

There are 53 observations,so it will be positioned at 53*0.25=13.25 i.e approximately at 14th position

So,Q1=206

c)Third quartile is below which 75% of the data falls.

There are 53 observations,so it will be positioned at 53*0.75=39.75 i.e approximately at 40th position

So,Q3=272

174 241 176 242 178 245 184 247 185 250 185 250 185 259 185 260 188 260 190 265 200 265 202 270 205 272 206 273 210 275 211 276 211 278 212 280 212 280 215 285 215 285 220 286 223 290 228 290 230 295 232 302 241

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