Solution: Given the following data: X f 140 - 149 5 130 - 139 10 120 - 129 20 110 - 119 40 100 - 109 80 90 - 99 120 80 - 89 70 70 - 79 40 60 - 69 15 Calculate


Question: Given the following data:

X f
140 - 149 5
130 - 139 10
120 - 129 20
110 - 119 40
100 - 109 80
90 - 99 120
80 - 89 70
70 - 79 40
60 - 69 15
  1. Calculate the Median for frequency distributions with grouped classes using the following formula,
    \[\text { Median }=L . R .1 .+\left[\frac{n / 2-f a}{f}\right](i)\]
  2. Calculate the Standard Deviation using the following formula,
    \[s=\sqrt{\frac{\sum X_{i}^{2} f-\left[\left(\sum X_{i} f\right)^{2}\right] / n}{n-1}}\]
  3. Calculate the Variance

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