find the mean median and mode of the data set.
15,16,21,23,25,25,25,29
To find the mean of the data set, you need to add up all the numbers and then divide by the total number of values:
Mean = (15 + 16 + 21 + 23 + 25 + 25 + 25 + 29) / 8 = 21.5
To find the median, you need to find the middle value of the set, which is the value that is exactly halfway into the set when it is ordered from lowest to highest. In this case, the data set has an even number of values, so the median is the average of the two middle values:
Median = (23 + 25) / 2 = 24
To find the mode, you need to find the value that appears most frequently in the set. In this case, the number 25 appears three times, so it is the mode:
Mode = 25
Therefore, the mean, median, and mode of the data set are 21.5, 24, and 25, respectively.
To find the mean (average) of a data set, you need to sum up all the values in the data set and divide it by the total number of values.
Here's how to find the mean:
1. Add up all the values in the data set: 15 + 16 + 21 + 23 + 25 + 25 + 25 + 29 = 179.
2. Count the number of values in the data set: 8.
3. Divide the sum by the number of values: 179 ÷ 8 = 22.375.
Therefore, the mean of the given data set is 22.375.
To find the median of a data set, you need to arrange the values in ascending order and identify the middle value(s) of the data set.
Here's how to find the median:
1. Arrange the data set in ascending order: 15, 16, 21, 23, 25, 25, 25, 29.
2. Identify the middle value(s) of the data set. Since there are an even number of values in this set (8), there will be two middle values.
The middle values are: 21 and 23.
3. To find the median in this case, take the average of the two middle values: (21 + 23) ÷ 2 = 22.
Therefore, the median of the given data set is 22.
To find the mode of a data set, you need to identify the value(s) that appear most frequently.
Here's how to find the mode:
1. Count the frequency of each value:
- 15: 1
- 16: 1
- 21: 1
- 23: 1
- 25: 3
- 29: 1
2. Identify the value(s) with the highest frequency. In this data set, the mode is 25 since it appears most frequently (3 times).
Therefore, the mode of the given data set is 25.
In summary:
- Mean: 22.375
- Median: 22
- Mode: 25
To find the mean, median, and mode of this data set, follow these steps:
Step 1: Arrange the data set in ascending order:
15, 16, 21, 23, 25, 25, 25, 29
Step 2: Find the mean:
Add up all the numbers in the data set:
15 + 16 + 21 + 23 + 25 + 25 + 25 + 29 = 179
Divide the sum by the total number of values:
179 / 8 = 22.375
So the mean is 22.375.
Step 3: Find the median:
The median is the middle value in the data set.
Since there are 8 numbers in the data set, the middle two numbers are 23 and 25.
So the median is the average of those two numbers:
(23 + 25) / 2 = 48 / 2 = 24
Therefore, the median is 24.
Step 4: Find the mode:
The mode is the value(s) that appear most frequently in the data set.
In this case, the number 25 appears three times, which is more than any other number.
So the mode is 25.
In summary:
Mean = 22.375
Median = 24
Mode = 25