High School

Find the mean of the following distribution:

Class intervals: 10-25, 25-40, 40-55, 55-70, 70-85, 85-100

Answer :

Final answer:

To find the mean of a distribution, calculate the sum of all the values and divide it by the total number of values.

Explanation:

To find the mean of a distribution, we need to calculate the sum of all the values in the distribution and divide it by the total number of values. Let's calculate the mean for the given distribution:

  1. The class interval 10-25: Midpoint = (10 + 25) / 2 = 17.5
  2. The class interval 25-40: Midpoint = (25 + 40) / 2 = 32.5
  3. The class interval 40-55: Midpoint = (40 + 55) / 2 = 47.5
  4. The class interval 55-70: Midpoint = (55 + 70) / 2 = 62.5
  5. The class interval 70-85: Midpoint = (70 + 85) / 2 = 77.5
  6. The class interval 85-100: Midpoint = (85 + 100) / 2 = 92.5

Now, multiply each midpoint by its corresponding frequency, and sum up the products: (17.5 * frequency1) + (32.5 * frequency2) + (47.5 * frequency3) + (62.5 * frequency4) + (77.5 * frequency5) + (92.5 * frequency6). Divide this sum by the total number of values (which is the sum of all frequencies) to get the mean of the distribution.

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