Question

A data set of size n = 25 is presented by the frequency table below. Only some of the table entries are Given.
Obtain the frequencies of the distinct data values.

Frequency Table

Distinct Cumulative Relative
Values Frequencies Frequencies
  1             3
  3             7
  6                               0.40
10            19
15

The frequencies are (in the order of the values):

Answer 1

The complete table is shown below

Distinct Values	Frequencies	Cumulative Frequencies	Relative Frequencies
1	3	3	0.12
3	4	7	0.16
6	10	17	0.40
10	2	19	0.08
15	6	25	0.24
	25		1

Explanation

We can find the frequency of distinct values from Cumulative frequencies

frequency of (x=1) = F(1) = 3

frequency of (x=3) = F(3)-F(1) = 7-3 =4

For X = 6 we find frequency by relative frequency

frequency of (x=6) = N*0.4 = 25*0.4 = 10

frequency of (x=10) = F(10)-F(6) = 19-17 =2

Now F(5) = 25 as we have total of 25 observations.

so

frequency of (x=15) = F(15)-F(10) = 25-19 =6

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