In: Statistics and Probability
nn psychology students took a standardized test. The scores are
summarized in the GFDT below.
Scores | Frequency |
---|---|
220 - 224 | 14 |
225 - 229 | 15 |
230 - 234 | 16 |
235 - 239 | |
240 - 244 | 17 |
245 - 249 | 40 |
The scores are also described in the cumulative table shown
below.
Scores | Frequency |
---|---|
less than 225 | 14 |
less than 230 | 29 |
less than 235 | 45 |
less than 240 | 63 |
less than 245 | 80 |
less than 250 | nn |
What is the missing value in the GFDT
Solution:
Given:
Scores | Frequency |
---|---|
220 - 224 | 14 |
225 - 229 | 15 |
230 - 234 | 16 |
235 - 239 | |
240 - 244 | 17 |
245 - 249 | 40 |
The scores are also described in the cumulative table shown below.
Scores | Frequency |
---|---|
less than 225 | 14 |
less than 230 | 29 |
less than 235 | 45 |
less than 240 | 63 |
less than 245 | 80 |
less than 250 | nn |
We have to find the missing value in the GFDT.
Missing value class is 235-239.
From second table above, We have Scores less than 240 = 63 and Scores less than 235 = 45
thus scores between 235 and 239 = 63 - 45 = 18
Thus missing value in the GFDT = 18.
Value of nn:
Scores Frequency
220 - 224 | 14 |
225 - 229 | 15 |
230 - 234 | 16 |
235 - 239 | 18 |
240 - 244 | 17 |
245 - 249 | 40 |
nn =total = 120 |
Thus value of nn = 120