1. In a spelling contest, the number of words correctly spelled by 8 students are: 10, 12, 10, 14, 12, 10, 11, 12. What is the mode of the number of correct words? 2. A store recorded the number of shirts sold over five days: 25, 30, 25, 40, 25. What is the mode of the shirts sold? 3. The shoe sizes of students in a classroom are: 7, 8, 9, 8, 7, 8, 10, 7, 8. What is the mode shoe size? 4. A farmer recorded the number of eggs collected from 6 hens over a week: 6, 5, 5, 6, 4, 6. What is the mode number of eggs? 5. In a survey, students were asked how many hours they sleep at night. Their responses were: 7, 6, 7, 8, 7, 6, 9, 6, 6. What is the mode of the number of sleeping hours?
Answer (1)
In these questions, we are asked to determine the mode from a set of numbers. The mode is the value(s) that appear most frequently in a data set. Let's go through each part step-by-step:
Spelling Contest Words: The numbers of correctly spelled words by 8 students are: 10 , 12 , 10 , 14 , 12 , 10 , 11 , 12 .
To find the mode, we look for the value that appears most frequently.
The numbers 10 and 12 both appear three times, which is more than any other number.
Therefore, the mode of the number of correct words is 10 and 12 .
Shirts Sold in a Store: The number of shirts sold over five days are: 25 , 30 , 25 , 40 , 25 .
Here, the number 25 appears three times, more than any other numbers.
Thus, the mode of the shirts sold is 25 .
Shoe Sizes in a Classroom: The shoe sizes of students are: 7 , 8 , 9 , 8 , 7 , 8 , 10 , 7 , 8 .
Number 8 appears four times, which is more than any other numbers.
Hence, the mode shoe size is 8 .
Eggs Collected by Hens: The number of eggs collected from 6 hens are: 6 , 5 , 5 , 6 , 4 , 6 .
The number 6 appears three times while 5 appears two times.
Therefore, the mode number of eggs is 6 .
Hours of Sleep: The hours of sleep reported by students are: 7 , 6 , 7 , 8 , 7 , 6 , 9 , 6 , 6 .
The number 6 appears four times, more than any other number in the data set.
Hence, the mode of the number of sleeping hours is 6 .
In summary, the mode is the value that occurs most frequently in a data set, and it helps identify the most common occurrence within a group of numbers.
