High School

Find the mean for the following frequency distribution:

Class | Frequency
------|----------
1-5 | 18
6-10 | 32
11-15 | 30
16-20 | 40
21-25 | 25
26-30 | 15
31-35 | 40

Answer :

Final answer:

To find the mean for a frequency distribution, multiply each class midpoint by its corresponding frequency, sum up these products, and divide by the total frequency. The mean of the given frequency distribution is obtained through these calculations.

Explanation:

To find the mean for a frequency distribution, we need to multiply each class midpoint by its corresponding frequency and then sum up these products. Next, we divide the sum by the total frequency to get the mean.

  1. Class 1-5: midpoint = (1+5)/2 = 3, frequency = 18, product = 3 * 18 = 54
  2. Class 6-10: midpoint = (6+10)/2 = 8, frequency = 32, product = 8 * 32 = 256
  3. Continue this process for all the classes.
  4. Finally, add up all the products: 54 + 256 + ... + (product of the last class)
  5. Divide the sum by the total frequency: (sum)/(total frequency)

After performing the calculations, the mean of the given frequency distribution is obtained.

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