Directions: Find the mode of the following data. Identify the types. 1. 16, 21, 26, 17, 17, 16, 21 2. 21, 31, 25, 25, 26, 27, 31, 31, 11 3. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 4. A library's books have 250, 300, 180, 400, 350, and 250 pages. Find the mode. 5. Eight employees earn 45, 50, 55, 48, 52, 47, 53, and 49 thousand pesos. Find the mode.
Answer (1)
The 'mode' is a statistical term that refers to the number that appears most frequently in a set of data. Here's how you can find the mode for each of the given datasets:
Dataset 1: 16, 21, 26, 17, 17, 16, 21
First, count the frequency of each number:
16 appears 2 times
21 appears 2 times
26 appears 1 time
17 appears 2 times
The numbers 16, 21, and 17 all have the highest frequency of 2.
Therefore, this dataset is multimodal with modes: 16, 21, and 17.
Dataset 2: 21, 31, 25, 25, 26, 27, 31, 31
Count the frequency of each number:
21 appears 1 time
31 appears 3 times
25 appears 2 times
26 appears 1 time
27 appears 1 time
The number 31 appears the most frequently (3 times).
Therefore, the mode is 31.
Dataset 3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Each number appears exactly 1 time.
Since there is no repeating number, this dataset has no mode.
Dataset 4: 250, 300, 180, 400, 350, and 250 pages
Count the frequency of each number:
250 appears 2 times
300, 180, 400, and 350 each appear 1 time
The number 250 appears the most frequently.
Therefore, the mode is 250.
Dataset 5: 45, 50, 55, 48, 52, 47, 53, and 49 thousand pesos
Each number appears exactly 1 time.
Since there is no repeating number, this dataset has no mode.
