Box--Wisker Plots A 5-poit summry is use to plot "Box--Wisker" plot for set of Dt. Tese re use to ompre ifferet t sets. Tey re rw like tis: Lowest vlue Q1 Mei Q3 Higest vlue Wisker Box Wisker Tey re lwys rw gist umer lie. Aswer tese questios out tis set of t 9, 6, 30,, 30, 1,,, 5, 4, 1, 6 Arrge tis t ito seig orer: 1, 1,,,, 4, 5, 6, 6, 9, 30, 30 Fi 5-poit summry. Q1 Q Q3 Tere re 1 umers i te t set. Te lowest umer is 1. Q1 will e te verge of te 3 r te 4 t positio so: ` Q 1 + Te mei is te verge of te umers i 6 t 7 t positio. ` Q 4 5 + 4. 5 Q3 will e te verge of te 9 r te 10 t positio so: ` Q 6 9 3 + 7. 5 Te gretest umer i te set is 30. Drw ox--wisker plot for tis set of t. Q1 Mei/Q Q3 0 1 3 4 5 6 7 8 9 30 1 K 19
I y Box--Wisker plot te igrm represets: 5% of t 5% of t 5% of t 5% of t Mile 50% of t (Iterqurtile rge) Box--Wisker plots re use to ompre ifferet sets of t. Te tle elow sows verge tempertures for ity over two yers J Fe Mr Apr My Ju Jul Aug Sep Ot Nov De 009 8 4 16 6 0 5 9 0 3 4 010 1 4 6 5 4 5 4 5 30 7 8 36 Fi 5-poit summry for te tempertures i 009 010. 009 010 Aseig Orer 16, 0, 0,,, 3, 4, 4, 5, 6, 8, 9 1, 4, 4, 4, 5, 5, 5, 6, 7, 8, 30, 36 Lowest Temperture 16 1 Q1 1 4 Q 3.5 5 Q3 5.5 7.5 Higest Temperture 9 36 Drw ox wisker plots for te verge tempertures i 009 010. 009 010 15 16 17 18 19 0 1 3 4 5 6 7 8 9 30 31 3 33 34 35 36 37 38 39 40 Wi yer te greter rge of temperture? It e see tt te ox--wisker plot for 010 is loger t tt of 009. Tis mes tt 010 te greter rge i temperture. Wi yer te greter iterqurtile rge? It e see tt te ox--wisker plot for 009 s loger iterqurtile rge (te 'ox' prt) t 010. Tis mes 009 greter iterqurtile rge i temperture. K 13 19
Str Devitio Str evitio mesures te verge iste e sore is wy from te me. It s tis symol usig lower se sigm v, prooue 'sigm-'. Tis is te formul for v : v / ^x- xr Were xr is te me / still mes 'sum of'. Here is exmple: Fi te str evitio (orret to 1 eiml ple) of tis set of t: 11, 8, 13, 3, 9, 15, 17, 17, 6, 11 Fi te me, xr: Drw tle wit tese 3 olums. xr sumofsores 110 10 11 Tis is lle "me ifferee" "me ifferee" is squre Sore (x) x- xr ^x- xr 11 11-11 0 0 8 8-11 -3 9 13 13-11 4 3 3-11 -8 64 9 9-11 - 4 15 15-11 4 16 17 17-11 6 36 17 17-11 6 36 6 6-11 -5 5 11 11-11 0 0 Tis totl will ALWAYS e zero. If ot, mistke s ee me. / ^x- xr 0 / ^x- xr 194 Use te formul for str evitio. v / ^x- xr 194 10 44. ^1.p. 14 K 19
Questios 1. A tlete rus te sme re 16 times. Tis is ow log it tkes im (i seos) to ru e time: 14, 1, 18, 14, 16, 18, 19, 14, 16, 17, 15, 13, 0, 16, 14, 19 Write tese times i seig orer. Fi 5-poit summry of tis t. Drw ox--wisker plot for tis t. 11 1 13 14 15 16 17 18 19 0 1 Wt is te rge of te t? e Wt is te iterqurtile rge of te t? K 15 19
Questios. Durig 8 ys, t og et mout of foo (i grms) orig to te tle elow. Mo Tues We Tur Fri St Su Mo Ct 70 100 40 90 50 70 55 100 Dog 65 100 90 80 75 85 50 85 Arrge e set of t ito seig orer Fi 5-poit summry for e t set. Drw ox--wisker plots for te ifferet t sets o te umer lie elow. 0 5 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 From te ox--wisker plot, wi te greter iterqurtile rge? Fi te iterqurtile rge. 16 K 19
Questios 3. 150 me 150 wome were i survey tese re te resultig ox--wisker plots from teir ges: Wome Me 0 4 6 8 30 3 34 36 38 40 4 44 46 48 50 5 54 56 58 How ol ws te yougest wom i te survey? How ol ws te olest m i te survey? Wt is te mei ge for te wome? Fi Q1 for te me. e Fi Q3 for te wome. f Wt is te ge tt lf te me were oler t? K 17 19
Questios 4. Av oute te umer of ooks se re e mot for yer. Se wrote tem i te tle elow: J Fe Mr Apr My Ju Jul Aug Sep Ot Nov De 5 6 4 1 6 1 9 9 10 10 5 6 Fi xr, te me. Complete te tle elow for te ove set of t. x x- xr ^x- xr 5-1 6 0 4 1-5 6 1-5 9 9 3 9 10 4 10 5 6 0 0 / ^x- xr x- xr / ^ Wt is te formul to lulte v? Sow tt te str evitio of te ove set of t to eiml ples is.97. 18 K 19