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Published byGervais Terry Modified over 9 years ago
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Graphs of Frequency Distributions 1) Frequency Histograms: BAR GRAPHS – Horizontal scale quantitative: measures data values – Vertical scale: measures FREQUENCIES of classes – Consecutive bars must TOUCH 2) Frequency Polygons:LINE GRAPHS – Line Graph: shows continuous change in frequencies – Horizontal & Vertical scales same as Histograms
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Class Boundaries Used in HISTOGRAMS 1) Find the UPPER limit of FIRST class and LOWER limit of second class 2) Subtract these values (Usually 1) 3) Divide by 2 (Usually.5) 4) SUBTRACT this # from each lower limit and ADD this # to each upper limit: = boundaries
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Frequency Distribution Histogram Class Boundaries are widths of bars Class Heights are the Frequencies of each class Frequency # of subscribers Internet usage
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Frequency Distribution Polygons Midpoints of classes are x-values :extend ends Frequencies of classes are y-values: ends at 0 Connect points (line graph) Time online in minutes (midpoints) Frequency (# of subscribers)
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes ClassClass Bound. TallyFreq.Mid. Pt.Rel. Freq. Cum. Freq.
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes - Width (63-0)/6=10.5 ≈ 11 ClassClass Bound. TallyFreq.Mid. Pt.Rel. Freq. Cum. Freq. 0 11 22 33 44 55
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes - Width (63-0)/6=10.5 ≈ 11 ClassClass Bound. TallyFreq.Mid. Pt.Rel. Freq. Cum. Freq. 0-10 11-21 22-32 33-43 44-54 55-65
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes - Width (63-0)/6=10.5 ≈ 11 ClassClass Bound. TallyFreq.Mid. Pt.Rel. Freq. Cum. Freq. 0-10-.5-10.5 11-2110.5-21.5 22-3221.5-32.5 33-4332.5-43.5 44-5443.5-54.5 55-6554.5-65.5
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes - Width (63-0)/6=10.5 ≈ 11 ClassClass Bound. TallyFreq.Mid. Pt.Rel. Freq. Cum. Freq. 0-10-.5-10.55 11-2110.5-21.516 22-3221.5-32.527 33-4332.5-43.538 44-5443.5-54.549 55-6554.5-65.560
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes - Width (63-0)/6=10.5 ≈ 11 ClassClass Bound. TallyFreqMid. Pt.Rel. Freq. Cum. Freq. 0-10-.5-10.5IIII IIII IIII IIII IIII II 275 11-2110.5-21.5IIII IIII III1316 22-3221.5-32.5IIII IIII IIII I 1627 33-4332.5-43.5IIII II738 44-5443.5-54.5IIII IIII I1149 55-6554.5-65.5III360 77
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Example: Do Try it Yourself p. 35 # 3 & 4 (Use data on p. 29) USE 6 Classes - Width (63-0)/6=10.5 ≈ 11 ClassClass Bound. TallyFreqMid. Pt.Rel. Freq. Cum. Freq. 0-10-.5-10.5IIII IIII IIII IIII IIII II 275.350624 11-2110.5-21.5IIII IIII III1316.168840 22-3221.5-32.5IIII IIII IIII I 1627.207856 33-4332.5-43.5IIII II738.090963 44-5443.5-54.5IIII IIII I1149.142974 55-6554.5-65.5III360.039077
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Histogram Frequency 5 16 27 38 49 60
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Frequency Polygon Frequency
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