Two independent samples of tall and short students are selected, and their score
ID: 3264213 • Letter: T
Question
Two independent samples of tall and short students are selected, and their scores on a 25 point statistics quiz are recorded as shown in the table below. What is the rank of Wilt's score? As in most exams, higher values rank ahead of lower values.
Tall
18
20
15
17
13
16 (Wilt)
11
20
13
15
Short
13
16
20
18
15
20
17
16
18
17
A) 7 B) 8 C) 12 D) 13
Two independent samples of tall and short students are selected, and their scores on a 25 point statistics quiz are recorded as shown in the table below. What is the rank of Wilt's score? As in most exams, higher values rank ahead of lower values.
Tall
18
20
15
17
13
16 (Wilt)
11
20
13
15
Short
13
16
20
18
15
20
17
16
18
17
A) 7 B) 8 C) 12 D) 13
Explanation / Answer
Combining the data for tall and short students and arranging them in descending order as below. The ranks are assigned first without ties as below:
For tied values, let us group all the tied observations and assign the average rank to all tied values in that group. For example, the score of 20 has 4 repetitions with rank assigned as 1, 2, 3, 4. The average of these ranks is (1+2+3+4)/4 = 2.5. So, for all the tied values of 20, we will assign them a rank of 2.5.
Following the above procedure for all tied values, we get the table as below:
Average Rank is the new rank assigned to the individuals.
Wilt has a score of 16. Looking in the above table, for a score of 16, the average rank is 12. Hence, rank of Wilt's score = 12
Answer is Option-C
Score Rank w/o Ties 20 1 20 2 20 3 20 4 18 5 18 6 18 7 17 8 17 9 17 10 16 11 16 12 16 13 15 14 15 15 15 16 13 17 13 18 13 19 11 20Related Questions
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