In this question, we are given
,
-
A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order.
- L1 is the list consisting of the first n1 numbers in L.
- L2 is the list consisting of the last n2 numbers in L.
Explanation:
As per the information given in statement 1, 17 is a mode for L1 and 17 is a mode for L2.
Therefore, we can infer that
,
- 17 must occur in L1, either same or a greater number of times as any other number in L1.
- 17 must occur in L1, either same or a greater number of times as any other number in L2.
As all elements in L are in ascending order, we can also conclude that
-
Each number between last occurrence of 17 in L1 and the first occurrence of 17 in L2 must be equal to 17 only.
- Therefore, 17 occurs either same or greater number of times as any other number in L.
- Thus, 17 is a mode for L.
However, from this statement, we cannot conclude anything about the mode of L1, L2, or L.
Hence, statement 2 is not sufficient to answer the question.
Therefore, 17 is a mode for L1 and 17 is a mode for L2.
