Q.The modal class of the above frequency distribution is 15–20. So, the mode is calculated as: \[ \text{Mode} = l + \left(\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right) \times h \] Where: - \(l = 15\) (lower boundary of modal class) - \(f_1 = 28\) (frequency of modal class) - \(f_0 = 18\) (frequency of class before modal class) - \(f_2 = 17\) (frequency of class after modal class) - \(h = 5\) (class width) Substituting the values: \[ = 15 + \left(\frac{28 - 18}{2 \times 28 - 18 - 17}\right) \times 5 = 15 + \frac{10}{21} \times 5 = 15 + \frac{50}{21} = 15 + 2.38 = 17.38 \quad \text{(approx)} \] ✅ Therefore, the mode is approximately **17.38**.

Class Greater-than type cumulative frequency
0 or more 45
5 or more 41
10 or more 31
15 or more 16
20 or more 8
25 or more 5
Assuming the length of one side of the smallest square along the x-axis = 1 unit, and the length of one side of the smallest square along the y-axis = 1 unit, the points (0,45), (5,41), (10,31), (15,16), (20,8), and (25,5) are plotted and joined to obtain the **greater-than type ogive**. --- ph or calculating anything from it!
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