Option A:
Solution:
Given data:
Center of the circle is (5, 3).
Radius of the circle = 4
To find the equation of the circle:
The general form of the equation of a circle in centre-radius format is
where (h, k) is the centre of the circle and r is the radius of the circle.
Substitute the given values in the equation of a circle formula:
The equation of the given circle is .
Hence Option A is the correct answer.
Answer: The distribution of the data set is positively skewed.
<u>Explanation: </u>
In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.
For symmetric distribution,
For positively skewed distribution,
For negatively skewed distribution,
The mean of the given data set is given below:
Now, the Median is:
To find the median we need to sort the data in ascending order as:
The mode is the most frequently occurring observation. Therefore the mode is:
Since the , therefore the distribution of the given data set is positively skewed.