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The following frequency distribution gives the monthly consumption of electricity of $68$ consumers of a locality. Find the mean and mode of the data: Monthly Consumption (in units) Number of Consumers $65-85$ $4$ $85-105$ $5$ $105-125$ $13$ $125-145$ $20$ $145-165$ $14$ $165-185$ $8$ $185-205$ $4$
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Correct Table (1
frac{1}{2})
Mean = $135+\frac{7}{68} \times 20 = 137.06$ (1)
Modal Class is $125-145$ (1/2)
Mode = $125 + \left(\frac{20-13}{40-13-14}\right) \times 20 = 135.77$ (1/2)
Hence, Mean = $137.06$ units and Mode = $135.77$ units (1/2)
frac{1}{2})
Mean = $135+\frac{7}{68} \times 20 = 137.06$ (1)
Modal Class is $125-145$ (1/2)
Mode = $125 + \left(\frac{20-13}{40-13-14}\right) \times 20 = 135.77$ (1/2)
Hence, Mean = $137.06$ units and Mode = $135.77$ units (1/2)