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1. The Nobel Prize is awarded to people for remarkable achievement in
different areas, including Physics and Chemistry. The data sets below are
random samples of the ages at which these awards have been won.
Physics, 63, 25, 32, 59, 38, 40, 88, 44, 80, 44, 45, 48, 49, 53, 70, 85, 53, 54,
71, 56, 59, 63, 69, 80, 49
Chemistry: 36, 83, 39, 68, 42, 77,85, 42, 69, 44, 45, 48, 72, 48, 50, 84, 50,
54, 75, 54, 56, 70, 54, 60, 72
A. Find the five key values for each data set.
B. Sketch box plots to represent each sample.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier

they used 313 gallons of paint

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)