Multiple Choice
Find the mean, median, and mode of the data set.
15, 16, 21, 23, 25, 25, 25, 39
A. mean = 23.6, median = 25, mode = 24
B. mean = 24, median = 23.6, mode = 25
C. mean = 24.6, median = 24, mode = 25
D. mean = 23.6, median = 24, mode = 25
To find the mean, we add up all the numbers and divide by the total number of numbers:
Mean = (15 + 16 + 21 + 23 + 25 + 25 + 25 + 39) / 8 = 23.6
To find the median, we need to find the middle number. Since there are 8 numbers in the set, we take the average of the 4th and 5th numbers:
Median = (23 + 25) / 2 = 24
To find the mode, we look for the number that appears most frequently. In this case, 25 appears three times, so the mode is 25.
Therefore, the answer is D. mean = 23.6, median = 24, mode = 25.
To find the mean of a data set, you need to add up all the numbers in the data set and then divide the sum by the total count of numbers.
To find the median of a data set, you need to arrange the numbers in ascending order and then find the middle number. If there is an even number of values, you take the average of the two middle values.
To find the mode of a data set, you need to identify the number that appears most frequently.
Let's find the mean, median, and mode of the given data set: 15, 16, 21, 23, 25, 25, 25, 39.
First, let's calculate the mean:
Mean = (15 + 16 + 21 + 23 + 25 + 25 + 25 + 39) / 8 = 189 / 8 = 23.625
Now, let's calculate the median:
Arranging the numbers in ascending order: 15, 16, 21, 23, 25, 25, 25, 39
The middle two numbers are 23 and 25, so the median is the average of these two: (23 + 25) / 2 = 48 / 2 = 24
Finally, let's calculate the mode:
The number 25 appears most frequently in the data set, so the mode is 25.
Therefore, the correct answer is option D. mean = 23.6, median = 24, mode = 25.
To find the mean, median, and mode of a data set, follow these steps:
1. Mean: Add up all the numbers in the data set and divide the sum by the total number of values.
2. Median: Arrange the numbers in ascending or descending order and find the middle value. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.
3. Mode: The mode is the value(s) that appear most frequently in the data set.
Let's calculate:
Step 1: Adding up the data set:
15 + 16 + 21 + 23 + 25 + 25 + 25 + 39 = 189
Step 2: Finding the mean:
The data set has 8 values, so the mean is 189 / 8 = 23.625 (approximately)
Step 3: Arranging the data set in ascending order:
15, 16, 21, 23, 25, 25, 25, 39
Since there are 8 values, the median is the average of the two middle values, which are 23 and 25. So, the median is (23 + 25) / 2 = 24.
Step 4: Finding the mode:
The mode is the value that appears most frequently. In this case, the value 25 appears most frequently (3 times), so the mode is 25.
Therefore, the correct answer is:
D. mean = 23.6, median = 24, mode = 25