Question

heights of statistics students were obtained by a teacher as part of an experiment conducted for the class. the last digit of those heights are listed below. construct a frequency - distribution with 10 classes. based on the distribution, do the heights appear to be reported or actually measured? what can be said about the accuracy of the results? 0000000011223344555555555668899 last digit frequency last digit frequency 0 5 1 6 2 7 3 8 4 9 (type integers or decimals.) based on the distribution, do the heights appear to be reported or actually measured? a. the heights appear to be reported because the distribution is uniform. b. the heights appear to be actually measured because the distribution is uniform. c. the heights appear to be actually measured because there are disproportionately more 0s and 5s. d. the heights appear to be reported because there are disproportionately more 0s and 5s. what can be said about the accuracy of the results? a. they are likely not very accurate because they appear to be actually measured. b. they are likely accurate because they appear to be reported. c. they are likely accurate because they appear to be actually measured. d. they are likely not very accurate because they appear to be reported.

Explanation:

Step1: Count digit frequencies

Count the number of each last - digit (0 - 9) in the data set 0000000011223344555555555668899.
For digit 0: 8 times; for digit 1: 2 times; for digit 2: 2 times; for digit 3: 2 times; for digit 4: 2 times; for digit 5: 10 times; for digit 6: 2 times; for digit 8: 2 times; for digit 9: 2 times.

Step2: Analyze reported vs measured

If data is actually measured, we expect a more or less uniform distribution of last - digits. But here, there are disproportionately more 0s and 5s. This is a sign that the heights are reported (people tend to round numbers and use 0s and 5s more often when reporting).

Step3: Evaluate accuracy

Since the data appears to be reported, it is likely not very accurate as reported data may involve rounding and less precision compared to actually measured data.

Answer:

Last digit Frequency
0 8
1 2
2 2
3 2
4 2
5 10
6 2
7 0
8 2
9 2
D. The heights appear to be reported because there are disproportionately more 0s and 5s.
D. They are likely not very accurate because they appear to be reported.