Answer :
The mean of a distribution using a histogram, the mean of this distribution is 26.43.
you need to multiply the midpoints of each class by their respective frequencies, sum up these products, and then divide by the total number of data points.
Step 1: Calculate the midpoints for each class by taking the average of the lower and upper class boundaries. For example, the midpoint for the first class is (24.57 + 24.55) / 2 = 24.56.
Step 2: Multiply each midpoint by its corresponding frequency. For example, for the first class, the product is 24.56 * 9 = 221.04.
Step 3: Sum up all these products for all classes. For the given histogram, you should get 221.04 + (13.5 * 5) + (46.5 * 3) + (24.5 * 1) + (35.5 * 5) = 608.04.
Step 4: Find the total number of data points by summing up the frequencies. In this case, the total is 9 + 5 + 3 + 1 + 5 = 23.
Step 5: Finally, divide the sum of the products by the total number of data points to find the mean. The mean is 608.04 / 23 = 26.43 (rounded to two decimal places).
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