QUESTION IMAGE
Question
identifying the spread and center of data
number of experiments
miguel needs to find the center and the spread of the data set shown on the dot plot.
the dot plot has
there will be
dots to the left of the center and
dots to the right of the center.
the center of the data set is
the spread of data is from
2 to 6
10 to 30
5 to 30
5 to 60
Step1: Count total dots
Count all the dots on the dot - plot. There are 1 + 5+ 3+ 2+ 3+ 6 = 20 dots.
Step2: Determine center position
Since there are 20 dots (an even - numbered data set), the center is between the 10th and 11th ordered data points. Counting from the left, the 10th and 11th dots fall on the value 15. So the center of the data set is 15.
Step3: Find left and right dots of center
There are 9 dots to the left of the center (when considering the position between the 10th and 11th ordered points) and 9 dots to the right.
Step4: Calculate spread
The spread of the data is the range, which is the difference between the maximum and minimum values. The minimum value is 5 and the maximum value is 30. So the spread is from 5 to 30.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
The dot plot has 20 dots.
There will be 9 dots to the left of the center and 9 dots to the right of the center.
The center of the data set is 15.
The spread of data is from 5 to 30.