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10th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    The table below shows the daily expenditure on food of 25 households in a locality.
    Daily expenditure in Rs. Number of households
    100 - 150 4
    150 - 200 5
    200 - 250 12
    250 - 300 2
    300 - 350 2
    What is true about the mean daily expenditure on food?

    A)  value of mean is 206.6             

    B)  value of mean is 211

    C)  mean lies in interval (150 - 200)    

    D)  mean lies in interval (300 - 350)

    Correct Answer: B

    Solution :

    (b):
      \[{{x}_{i}}\] \[{{f}_{i}}\] \[{{f}_{i}}{{x}_{i}}\]
    100 - 150 125 4 500
    150 - 200 175 5 875
    200 - 250 225 12 2700
    250 - 300 275 2 550
    300 - 350 325 2 650
        25 5275
    Mean \[=\frac{5275}{25}=211\]


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