A survey was conducted in which the customer service representatives of two companies were rated on a scale of 1 to 6. The graph below shows customer service ratings of 20 representatives.
The interquartile range for each company is 3. The difference between the median rating for each company is approximately how many times the interquartile range?
The interquartile range is a measure of the spread of the data. It is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the interquartile range is 3 for both companies.
To find the median rating for each company, we need to find the value that is in the middle of the data. Since we have 20 representatives, the median will be the average of the 10th and 11th ratings.
From the graph, we can see that the median rating for the first company is approximately 3. The median rating for the second company is approximately 4.
The difference between the median rating for each company is 4-3=1.
To find how many times the interquartile range is greater than the difference between the medians, we divide the difference by the interquartile range:
1/3 ≈ 0.33333
Therefore, the difference between the median rating for each company is approximately one-third of the interquartile range.
what is the area of the 6 in circle
The area of a circle is given by the formula: A = πr^2, where r is the radius of the circle.
Since the radius of the circle is half of its diameter, if the circle has a diameter of 6, then the radius is 6/2 = 3.
Therefore, the area of the circle is: A = π(3)^2 = 9π.
The area of the 6 in circle is 9π, or approximately 28.27 square units.
what is the area of a 6 inch circle
The area of a circle is given by the formula: A = πr^2, where r is the radius of the circle.
If the circle has a diameter of 6 inches, then the radius is 6/2 = 3 inches.
Therefore, the area of the circle is: A = π(3)^2 = 9π square inches.
The area of a 6-inch circle is 9π square inches, or approximately 28.27 square inches.
To find the approximate difference between the median rating for each company in terms of the interquartile range, we need to determine the median rating for each company.
The median is the middle value when the data is arranged in ascending order. In this case, since there are 20 representatives, the median will be the average of the 10th and 11th values when the ratings are arranged.
Since the interquartile range is 3, the median rating for each company will be 3 units apart.
To calculate the approximate difference between the median rating for each company in terms of the interquartile range, we need to find the difference and divide it by the interquartile range:
Difference = 3 * (Median Rating for Company A - Median Rating for Company B)
As the graph is not available, we cannot determine the exact median ratings for each company and hence the actual difference. However, the approximate difference can be determined using the formula above with the given interquartile range of 3.
To find the difference between the median ratings for each company in terms of the interquartile range, we need to determine the medians for each company first.
1. Look at the graph or data set and identify the median ratings for each company. The median is the middle value when the data is arranged in ascending order.
2. Calculate the difference between the medians. This will give us the numerical difference in rating between the two companies.
3. Divide the difference between the medians by the interquartile range. This will tell us how many times the interquartile range fits into the difference between the medians.
Let's walk through an example to clarify the steps:
Suppose the median rating for Company A is 4 and the median rating for Company B is 2. The interquartile range for both companies is 3.
1. We have the median ratings for both companies: Median_A = 4 and Median_B = 2.
2. Calculate the difference between the medians: Difference = Median_A - Median_B = 4 - 2 = 2.
3. Divide the difference between the medians by the interquartile range: Difference / Interquartile Range = 2 / 3 ≈ 0.67.
Therefore, the difference between the median rating for each company is approximately 0.67 times the interquartile range.
Note: This example was hypothetical, and you should find the actual median ratings and interquartile range based on the given data to get an accurate answer for your specific survey.