What is the mode of these numbers?
85, 93, 84, 99, 84
The Correct Answer and Explanation is :
To find the mode of a set of numbers, we identify the value that appears most frequently in the list. The numbers you provided are:
85, 93, 84, 99, 84.
Step 1: Count the Frequency of Each Number
- 85: appears 1 time
- 93: appears 1 time
- 84: appears 2 times
- 99: appears 1 time
Step 2: Identify the Mode
The mode is the number that has the highest frequency. In this case, 84 appears 2 times, while all other numbers (85, 93, and 99) appear only once. Therefore, the mode of the given set of numbers is 84.
Explanation of the Mode
The mode is a measure of central tendency, which represents the most common value in a dataset. Unlike the mean (average) and median (the middle value when the numbers are ordered), the mode is particularly useful for identifying the most frequent observations in categorical data or in cases where the frequency of occurrence is significant.
In this set of numbers, the mode provides insight into the data’s distribution. Since 84 is the mode, it indicates that this value is the most representative of the dataset, suggesting a potential trend or pattern.
Understanding the mode can be especially beneficial in various fields, including business, healthcare, and education, where identifying the most common outcomes or preferences can guide decision-making. For instance, in a healthcare setting, if patient symptoms are recorded and analyzed, the mode can help identify the most prevalent symptoms among a patient population, informing diagnosis and treatment plans.
In summary, the mode is a simple yet powerful statistical measure that helps to summarize and interpret data by highlighting the most common values. In your set, the mode is 84, indicating that this number is the most frequently occurring value among the provided data.