3. Which statement is true about the following set of data?
18, 17, 21, 24, 21
1.The mean is greater than the median.
2.The median is less than the mode.
3.The mean and median are the same number.
4.The median and the mode are the same number.
Please use the subject not the class.
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To determine which statement is true about the given set of data, let's find the mean, median, and mode.
The mean is calculated by summing all the values and dividing by the total number of values.
Mean = (18 + 17 + 21 + 24 + 21) / 5 = 101 / 5 = 20.2
For the median, we need to arrange the numbers in ascending order first:
17, 18, 21, 21, 24
The median is the middle value when the numbers are arranged in ascending order. Since there are an odd number of values (5 in this case), the median is the middle value, which is 21.
Lastly, let's find the mode. The mode is the value that appears most frequently in the set. In this case, 21 appears twice, which is more frequently than any other value.
Based on these calculations, we can determine the correct statement:
1. The mean is greater than the median. (False, mean = 20.2, median = 21)
2. The median is less than the mode. (False, median = 21, mode = 21)
3. The mean and median are the same number. (False, mean = 20.2, median = 21)
4. The median and the mode are the same number. (True, median = 21, mode = 21)
Therefore, the correct statement is: The median and the mode are the same number. (Option 4)
To determine which statement is true about the given set of data, we need to calculate the mean, median, and mode of the data and compare the results.
1. The mean is greater than the median:
To find the mean, we sum up all the numbers in the set and divide it by the total count. In this case, the sum would be 18 + 17 + 21 + 24 + 21 = 101. Dividing by the count of 5, we get a mean of 101/5 = 20.2.
To find the median, we arrange the numbers in ascending order: 17, 18, 21, 21, 24. The middle number is 21, so the median is 21.
Since the mean (20.2) is less than the median (21), Statement 1 is false.
2. The median is less than the mode:
To find the mode, we identify the number(s) that appear most frequently. In this case, 21 appears twice, and all other numbers appear once. Therefore, the mode is 21.
Since the median (21) is equal to the mode (21), Statement 2 is false.
3. The mean and median are the same number:
The mean we calculated earlier is 20.2, and the median is 21.
Since the mean and the median are different numbers, Statement 3 is false.
4. The median and the mode are the same number:
As we determined earlier, the median is 21 and the mode is also 21.
Therefore, Statement 4 is true.
Conclusion: Among the given statements, the only true statement about the set of data is Statement 4 - "The median and the mode are the same number."