Question

the histogram represents the distribution of the number of seconds it took for each of 50 students to find the answer to a trivia question using the internet. which interval contains the median? a 5 to 10 seconds b 10 to 15 seconds c 15 to 20 seconds d 0 to 5 seconds

Explanation:

Step1: Determine position of median

Since there are $n = 50$ data - points, the median is the average of the 25th and 26th ordered data - points.

Step2: Calculate cumulative frequencies

The frequency of the 0 - 5 seconds interval is 22. The cumulative frequency up to the 5 - 10 seconds interval is $22+5=27$.

Step3: Locate median interval

Since the 25th and 26th data - points fall within the 5 - 10 seconds interval (because the cumulative frequency just exceeds 25 when we consider the 5 - 10 seconds interval).

Answer:

a. 5 to 10 seconds