What is the average, middle value, and most occurring value in a dataset consisting of the numbers 18, 19, 20, 21, 23, 26, and 27?
To find the average, middle value, and most occurring value in a dataset, follow these steps:
1. Average: Add up all the numbers in the dataset, and then divide the sum by the total number of values. In this case, the sum of the numbers 18, 19, 20, 21, 23, 26, and 27 is 154. Since there are seven numbers, divide 154 by 7 to find the average. The average in this dataset is 22.
2. Middle Value: To find the middle value, first, arrange the numbers in ascending order. So the numbers in ascending order are 18, 19, 20, 21, 23, 26, and 27. Since there are seven numbers, the middle value will be the fourth number. In this case, the middle value is 21.
3. Most Occurring Value: Determine the value that appears most frequently in the dataset. In this case, there is no repeated value, as each number appears only once. Therefore, there is no most occurring value in this dataset.
So, the average is 22, the middle value is 21, and there is no most occurring value in this dataset.
To find the average, middle value, and most occurring value in a dataset, follow these steps:
Step 1: Arrange the numbers in ascending order: 18, 19, 20, 21, 23, 26, 27.
Step 2: Calculate the average:
The average is found by summing up all the numbers and dividing by the total count. In this case, the sum is (18 + 19 + 20 + 21 + 23 + 26 + 27) which equals 154. Divide 154 by the total count, which is 7, to get the average: 22.
Step 3: Identify the middle value:
Since the dataset has an odd number of values, the middle value is the (n + 1) / 2-th term, where n is the total count. In this case, n is 7, so the middle value is the (7 + 1) / 2 = 8 / 2 = 4th term. Counting from the start of the ordered list, the 4th term is 21.
Step 4: Determine the most occurring value:
In this dataset, none of the numbers occur more than once, so there isn't a most occurring value.
In summary:
- The average of the dataset is 22.
- The middle value of the dataset is 21.
- There is no most occurring value in the dataset.