Step 1: List the First 10 Prime Numbers
The first 10 prime numbers are:
\( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 \)
Step 2: Find the Median
Since there are 10 numbers (even count), the median is the average of the 5th and 6th terms:
\[ \text{Median} = \frac{11 + 13}{2} = \frac{24}{2} = 12 \]
Final Answer: \( \mathbf{12} \)
For a statistical data \( x_1, x_2, \dots, x_{10} \) of 10 values, a student obtained the mean as 5.5 and \[ \sum_{i=1}^{10} x_i^2 = 371. \] He later found that he had noted two values in the data incorrectly as 4 and 5, instead of the correct values 6 and 8, respectively.
The variance of the corrected data is: