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Find the mean and mode of the following data || Statistics || #statistics #maths #10th #important #tathastumathematics This video explains how to find the mean and mode of given data (0:00). The instructor starts by clarifying how to interpret the provided data, which initially appears as "marks below" certain values (0:13). This type of data represents cumulative frequency, not direct frequency (1:10). The video then details the steps: Creating Class Intervals (0:13): The first step is to establish the class intervals (e.g., 0-10, 10-20) based on the "marks below" information. Calculating Frequencies from Cumulative Frequencies (3:02): The most crucial step is to derive the actual frequencies for each class interval by subtracting the cumulative frequencies of the preceding classes. Calculating the Mean (6:04): The instructor chooses the direct method to calculate the mean. This involves finding the mid-point (xi) of each class interval (5:37). Then, the product of frequency (fi) and mid-point (xi) (fi*xi) is calculated for each interval (6:46). The mean is found by dividing the sum of fixi by the sum of fi* (6:27). In this video, the mean is calculated to be 51 (8:35). Calculating the Mode (8:38): The modal class is identified as the class with the highest frequency (9:16). In this example, the modal class is 40-50 with a frequency of 16 (9:31). The video then applies the mode formula, which involves the lower limit (L) of the modal class, the frequency of the modal class (F1), the frequency of the class preceding the modal class (F0), the frequency of the class succeeding the modal class (F2), and the class size (H) (8:43-9:57). After plugging in the values, the mode is calculated to be 48 (11:03). The instructor emphasizes that recognizing the given data as cumulative frequency is the most important part of solving this problem (11:10).