What are the mean, median, mode, and range of the data set 18,19,20,21,23,26,26,26?
A. Mean=22.4; Median=22; Mode=26
B. Mean=22.4; Median=26; Mode=22
C. Mean=26; Median=22.4; Mode=24
D. Mean=23.4; Median=22; Mode=26
Is the answer A?
Thank you for your help
Yes. A is right.
To find the mean, median, mode, and range of the given data set 18, 19, 20, 21, 23, 26, 26, 26, we can follow these steps:
1. Mean: The mean (or average) is obtained by adding up all the numbers in the data set and then dividing the sum by the total number of values. For this data set, the sum of the numbers is 18 + 19 + 20 + 21 + 23 + 26 + 26 + 26 = 179. Divide this sum by 8 (since there are 8 numbers in the data set), and you get the mean: 179/8 = 22.375, which can be rounded to 22.4.
2. Median: The median is the middle value in a data set when the numbers are arranged in ascending order. First, arrange the data set in ascending order: 18, 19, 20, 21, 23, 26, 26, 26. Since there are 8 numbers, the median is the average of the 4th and 5th numbers, which are 21 and 23. So, (21 + 23)/2 = 44/2 = 22.
3. Mode: The mode is the value that appears most frequently in a data set. In this case, the number 26 appears three times, which is more than any other number. Therefore, the mode is 26.
4. Range: The range is obtained by subtracting the smallest value from the largest value in a data set. In this case, the smallest value is 18, and the largest value is 26. So, the range is 26 - 18 = 8.
Based on these calculations, the correct answer would be A. Mean=22.4; Median=22; Mode=26.
I hope this explanation helps! If you have any further questions, feel free to ask.