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Find the mode from the following information: L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42. - Algebra

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Question

Find the mode from the following information: 

L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42. 

Sum

Solution

Mode = `"l"  + ("f"_1 - "f"_0)/(2"f"_1 - "f"_0 - "f"_2) xx "h"`

`= 10 + (70 - 58)/(2 (70) - 58 - 42) xx 2`

`= 10 + 12/(140 - 100) xx 2`

`= 10 + 24/40`

`= 10 + 3/5`

`= 53/5`

= 10.6

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2018-2019 (July) Set 1

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Activity:

From the given table,

Modal class = `square`

∴ Mode = `square + [(f_1 - f_0)/(2f_1 -f_0 - square)] xx h`

∴ Mode = `3.5 + [(40 - 33)/(2(40) - 33 - 27)] xx square`

∴ Mode = `3.5 +[7/(80 - 60)] xx 3`

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∴ The mode of the volume of petrol filled is `square`.


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