the histogram represents the distribution of the number of seconds it took for each of 50 students to find…

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

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

Answer

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