Interpreting Data. Using Our Knowledge. Box-and-Whisker Plots. A 5-point summary is used to plot a "Box-and-Whisker" plot for a set of Data.
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1 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 Q3 will e te verge of te 9 r te 10 t positio so: ` Q Te gretest umer i te set is 30. Drw ox--wisker plot for tis set of t. Q1 Mei/Q Q K 19
2 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 Fi 5-poit summry for te tempertures i 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 Q Higest Temperture 9 36 Drw ox wisker plots for te verge tempertures i 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
3 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 Tis is lle "me ifferee" "me ifferee" is squre Sore (x) x- xr ^x- xr 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 ^1.p. 14 K 19
4 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 Wt is te rge of te t? e Wt is te iterqurtile rge of te t? K 15 19
5 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 Dog 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 From te ox--wisker plot, wi te greter iterqurtile rge? Fi te iterqurtile rge. 16 K 19
6 Questios me 150 wome were i survey tese re te resultig ox--wisker plots from teir ges: Wome Me 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
7 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 Fi xr, te me. Complete te tle elow for te ove set of t. x x- xr ^x- xr / ^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 K 19
Name Period Date. Grade 7 Unit 1 Assessment. 1. The number line below shows the high temperature in Newark, in degrees Fahrenheit, on Monday.
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