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Measures of Central Tendency - PDF

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Added on  2021-06-17

Measures of Central Tendency - PDF

   Added on 2021-06-17

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Probability 1Name:TutorInstitution:CourseDate
Measures of Central Tendency - PDF_1
Probability 2Question 1a.Frequency distribution tableCLASSMID-POINTFREQUENCYRELATIVE FREQ.CUM. FREQUENCYCUM. REL. FREQ169 - 925547350.583350.58926 - 16821303180.3530.881683 - 2439206130.05560.932440 - 3196281830.05590.983197 - 3953357500590.983954 - 4710433200590.984711 - 5467508900590.985468 - 6224584600590.986225 - 6981660300590.986982 - 7738736010.016601Table 1b.Histogram 169-925926-16821683-24392440-31963197-39533954-47104711-54675468-62246225-69816982-77380510152025303540HistogramClassFrequencyFigure 1
Measures of Central Tendency - PDF_2
Probability 3c.Measures of central tendencyMean1033.433333Median715Mode401Measures of central tendencyTable 2Question 2a.The above is a sample and not a population. A population refers to the entirelargest set of items that a study is interested in while a sample is a subset of apopulation.b.Standard deviationstandarddeviation=i=1n¿¿¿¿mean,μ,=472+413+503+612+399+538+4557=33927=484.57¿¿22.57+731.75+48.52+2319.77+1046.03+407.82+124.91=4701.384701.38=68.57standarddeviation=68.57c.Interquartile range Interquartilerange=upperquartilelowerquartileLowerquartile=(14×7)position=1.75Therefore the lower quartile is in 1.75th position after arranging the data in order from thesmallest to the largest.
Measures of Central Tendency - PDF_3

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