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4. [-/12.5 Points]DETAILSAUFEXC4COREQ 13.2.005.MY NOTESASK YOUR TEACHERFind the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth.4.3, 4.8, 2.4, 4.1, 2.5, 2.6rangestandard deviationvariance5. [-/12.5 Points]DETAILSAUFEXC4COREQ 13.2.007.MY NOTESASK YOUR TEACHERFind the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth.61, 82, 58, 74, 56, 47, 73, 52, 65rangestandard deviationvariance

4 125 PointsDETAILSAUFEXC4COREQ 132005MY NOTESASK YOUR TEACHERFind The Range The Standard Deviation And The Variance For The Given Samples Round Noninteger Resu class=

Sagot :

Range = greatest number - smallest number

Range= 4.8 - 2.4 = 2.4

Mean = 2.4 + 2.5 + 2.6 + 4.1+ 4.3+4.8 = 20.7/6 = 3.45

[tex]\begin{gathered} SD=\sqrt{\frac{\sum_{i=1}^n(x1\text{ - }x)^2}{n\text{ - }1}} \\ SD=\sqrt{\frac{(2.4\text{ - 3.45\rparen}^2+(2.5\text{ - 3.45\rparen}^2+(2.6\text{ - }3.45)^2+(4.1\text{ - }3.45)^2+(4.3\text{ - }3.45)^2+(4.8\text{ -}3.45)^2}{6\text{ - }1}} \\ \\ SD=\sqrt{\frac{(\text{ -1.05\rparen}^2\text{ + \lparen- 0.95\rparen}^2\text{ + \lparen-0.85\rparen}^2\text{ + \lparen0.65\rparen}^2\text{ + \lparen0.85\rparen}^2\text{ + \lparen1.35\rparen}^2}{5}} \\ \\ SD=\text{ }\sqrt[\placeholder{⬚}]{\frac{(1.1025)\text{ + \lparen0.9025\rparen + \lparen0.7225\rparen + \lparen0.4225\rparen + \lparen0.72259\rparen + \lparen1.8225\rparen}}{5}} \\ \\ SD=\text{ }\sqrt[\placeholder{⬚}]{\frac{5.6954}{5}} \\ \\ SD=\sqrt[\placeholder{⬚}]{1.13908} \\ \\ SD=\text{ 1.067} \\ \\ Variance=\text{ }\sqrt[\placeholder{⬚}]{SD} \\ V=\text{ 1.13908} \end{gathered}[/tex]

Rounding to the nearest tenth:

Standard deviation: 1.1

Variance: 1.1

Range: 2.4

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