For the data set below, identify the mode (the value that occurs most frequently): −3, 4, 0, 4, −2, −5, 1, 7, 10, 5 Choose the correct mode.

Introduction / Context:
This question checks basic statistics: finding the mode of a list. The mode is the number that appears the greatest number of times in the data set.

Given Data / Assumptions:

• Data set: −3, 4, 0, 4, −2, −5, 1, 7, 10, 5 • Mode = most frequently occurring value

Concept / Approach:
Count how many times each value appears. The value with the highest frequency is the mode. If multiple values share the highest frequency, the data set is multimodal. Here we check frequencies carefully.

Step-by-Step Solution:
1) List values and count occurrences: −3 occurs 1 time 4 occurs 2 times 0 occurs 1 time −2 occurs 1 time −5 occurs 1 time 1 occurs 1 time 7 occurs 1 time 10 occurs 1 time 5 occurs 1 time 2) The highest frequency is 2, and it belongs to the value 4.

Verification / Alternative check:
Scan the list visually: only the number 4 repeats. Every other value appears exactly once. Therefore, 4 is the unique mode.

Why Other Options Are Wrong:
• 0, −2, 5, 7: each appears only once, so none can be the mode.

Common Pitfalls:
• Confusing mode with median or mean. • Missing the repeated value because negatives and positives are mixed.

Final Answer:
4