Question 1171479: 1. {2, 3, 6, 6, 2, 7, 2}
mean =
median =
mode =
sample variance =
sample standard deviation =
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Let's calculate the mean, median, mode, sample variance, and sample standard deviation for the given data set: {2, 3, 6, 6, 2, 7, 2}.
**1. Mean:**
* Sum of the values: 2 + 3 + 6 + 6 + 2 + 7 + 2 = 28
* Number of values: 7
* Mean: 28 / 7 = 4
**2. Median:**
* First, arrange the data in ascending order: 2, 2, 2, 3, 6, 6, 7
* The median is the middle value. Since there are 7 values, the median is the 4th value.
* Median: 3
**3. Mode:**
* The mode is the value that appears most frequently.
* In this data set, 2 appears 3 times, which is more than any other value.
* Mode: 2
**4. Sample Variance (s²):**
* Calculate the squared differences from the mean:
* (2 - 4)² = 4
* (3 - 4)² = 1
* (6 - 4)² = 4
* (6 - 4)² = 4
* (2 - 4)² = 4
* (7 - 4)² = 9
* (2 - 4)² = 4
* Sum of squared differences: 4 + 1 + 4 + 4 + 4 + 9 + 4 = 30
* Divide by (n - 1), where n is the number of values (7 - 1 = 6):
* Sample variance: 30 / 6 = 5
**5. Sample Standard Deviation (s):**
* The sample standard deviation is the square root of the sample variance.
* Sample standard deviation: √5 ≈ 2.236
**Summary:**
* Mean = 4
* Median = 3
* Mode = 2
* Sample Variance = 5
* Sample Standard Deviation ≈ 2.236
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