Consider the following sets of test scores (these are discrete data): Test 1: 52, 57, 75, 81, 71, 66, 57, 63, 65, 66, 79, 55, 70, 72 Test 2: 57, 74, 75, 71, 29, 68, 61, 61, 62, 65, 80, 57, 70, 71 a. Compute the range for each test (be sure to use the correct formula!) Test 1: 81-52=29 Test 2: 80-29=51 b. Ignore the actual scores for a moment and look only at the range values you computed. Compare Test 1 and Test 2 in terms of their `variability. Are they similar or different? If they are similar or different, what does that say about the variability between the two data sets? c. Is the range a good way to compare the variability between these two tests? Why/why not?
Consider the following sets of test scores (these are discrete data):
Test 1: 52, 57, 75, 81, 71, 66, 57, 63, 65, 66, 79, 55, 70, 72
Test 2: 57, 74, 75, 71, 29, 68, 61, 61, 62, 65, 80, 57, 70, 71
a. Compute the
Test 1: 81-52=29
Test 2: 80-29=51
b. Ignore the actual scores for a moment and look only at the range values you computed.
Compare Test 1 and Test 2 in terms of their `variability. Are they similar or different? If they are similar or different, what does that say about the variability between the two data sets?
c. Is the range a good way to compare the variability between these two tests? Why/why not?
Solution-:
We have,
Test 1: 52, 57, 75, 81, 71, 66, 57, 63, 65, 66, 79, 55, 70, 72
and
Test 2: 57, 74, 75, 71, 29, 68, 61, 61, 62, 65, 80, 57, 70, 71
For data set 1:
Smallest observation =52 and Largest observation =81
For data set 2:
Smallest observation =29 and Largest observation =80
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