Question

question the graph below represents the result of a survey in which a number of students reported how many letters were in their last names. name length number of letters what was the median name length? answer attempt 1 out of 2 letters submit answer

Explanation:

Step1: Count total data points

Count the number of dots (each dot represents a data point): At 4: 1, at 5: 1, at 6: 3, at 7: 2, at 8: 1, at 10: 1. Total = \(1 + 1 + 3 + 2 + 1 + 1 = 9\) data points.

Step2: Find the median position

For \(n = 9\) (odd), the median is the \(\frac{n + 1}{2}=\frac{9+1}{2}=5^{\text{th}}\) value when ordered.

Step3: Order the data and find the 5th value

Order the data by the number of letters: 4, 5, 6, 6, 6, 7, 7, 8, 10. The 5th value is 6.

Answer:

6