How do I find the remaining frequencies? I believe the entire frequency distribution is 2,6,12,12,6,2, for it is a normal distribution, but I am not sure if the middle values can be equivalent. Is this correct? Can someone please explain this to me?
Assume that the first two frequencies are 2 and 6 and ignore the rest of the frequencies. Assuming that it is a normal distribution with 40 sample values, determine the remaining 4 values.
Blood Count Frequency
3.0-4.9 6
5.0-6.9 16
7.0-8.9 9
9.0-10.9 7
11.0-12.9 0
13.0-14.9 2
To find the remaining frequencies, first, let's calculate the total frequency count for the given data:
Total frequency = frequency of 3.0-4.9 + frequency of 5.0-6.9 + frequency of 7.0-8.9 + frequency of 9.0-10.9 + frequency of 11.0-12.9 + frequency of 13.0-14.9
Given:
Frequency of 3.0-4.9 = 6
Frequency of 5.0-6.9 = 16
Frequency of 7.0-8.9 = 9
Frequency of 9.0-10.9 = 7
Frequency of 11.0-12.9 = 0
Frequency of 13.0-14.9 = 2
Total frequency = 6 + 16 + 9 + 7 + 0 + 2 = 40
Since the total number of sample values is 40, and the first two frequencies are 2 and 6, we have 40 - (2 + 6) = 40 - 8 = 32 remaining sample values.
Since it is assumed to be a normal distribution, we can divide the remaining sample values into two equal halves, with 16 values in each half.
Now, let's distribute the remaining 16 sample values between the frequency intervals. Since there are 4 remaining frequency intervals, we can distribute the values equally among them.
Remaining sample values per interval = Total remaining sample values / Number of remaining intervals
Remaining sample values per interval = 16 / 4 = 4
Thus, the remaining frequencies can be calculated as follows:
Frequency of 5.0-6.9 = 16 + 4 = 20
Frequency of 7.0-8.9 = 9 + 4 = 13
Frequency of 9.0-10.9 = 7 + 4 = 11
Frequency of 11.0-12.9 = 0 + 4 = 4
Therefore, the complete set of frequencies is:
2, 6, 20, 13, 11, 4
To find the remaining frequencies, you need to know the total number of data points in the distribution.
In this case, you mentioned that it is a normal distribution with 40 sample values. However, the table you provided doesn't seem to contain all the necessary intervals for a complete normal distribution. Could you please clarify the intervals and their corresponding frequencies?
Regarding the question about the middle values being equivalent, in a normal distribution, the frequencies generally decrease as you move away from the center. However, there might be small variations due to sampling or other factors. In your provided frequency distribution, the middle values of 12 and 6 are not exactly equivalent, but they are relatively close.
Once you provide the complete frequency distribution or the missing intervals, I can help you determine the remaining frequencies.