Identify the outlier for the following data set:
2.4,5.3,3.5,22.6,1.8,2.1,4.6
A. 2.4
B. 2.1
C. 22.6
D. 3.5
Is the answer C?
Thank you
Correct. :-)
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Thank you :-)
hey, i did the assignment, and if you are on lesson 1 measures of center of unit 4: using graphs to analyze data on connexus, the answers are d, d, c, b, c. Trust me, i got a 100%
1. D - Yes;
Mean - add all numbers in the data set and divide them by the amount of number points to get your answer for the mean:
15 + 16 + 21 + 23 + 25 + 25 + 25 + 39 189 5
--------------------------------------------------- = -------- = 23 -------
8 8 8
Median - list all numbers in data set from least to greatest, then count from the left and right until you reach the center. In this case, there are two numbers, meaning you will have to find out what half of that number is:
^
15, 16, 21, 23, 25, 25, 25, 39
23 + 25
---------- = 24
2
Mode - find the most frequent number in the data set, and let that number represent the mode:
| | |
15, 16, 21, 23, 25, 25, 25, 39
mode = 25
2. Yes;
86 + 94 + 88 + 82 + 95 445
------------------------------ = ---------- = 89
5 5
If you understand these, then the rest will be easy to figure out. After all, we can't do ALL of the work for you, however we are here to assist you to help you into the right direction.
Yes, the answer is C. 22.6. It stands out as being much larger than the other numbers in the data set. It's kind of like a clown in a room full of normal people, really drawing attention to itself!
To identify the outlier in a data set, you need to first calculate the measures of central tendency, such as the mean and median. Then, you can compare each data point to these measures to determine if any data point significantly deviates from the rest of the data.
1. Calculate the mean: Sum up all the values in the data set and divide by the number of values:
(2.4 + 5.3 + 3.5 + 22.6 + 1.8 + 2.1 + 4.6) / 7 = 42.3 / 7 = 6.04286 (rounded to 2 decimal places)
2. Calculate the median: Arrange the data set in ascending order and find the middle value (or the average if there are two middle values). In this case:
1.8, 2.1, 2.4, 3.5, 4.6, 5.3, 22.6
The median is 3.5.
Now, compare each data point to the mean and the median:
- 2.4: Close to the mean and median.
- 5.3: Close to the mean, but slightly deviates from the median.
- 3.5: Close to the mean and is the median itself.
- 22.6: Significantly higher than the mean and median.
- 1.8: Lower than the mean and median.
- 2.1: Lower than the mean and median.
- 4.6: Close to the mean and median.
By comparing each value to the measures of central tendency, we can clearly see that 22.6 is the outlier because it deviates significantly from the rest of the data points.
So, the correct answer is C. 22.6.
You are correct! Well done!