Distribution of Weights of Raindbow Trouts
Weight range, in pounds lower than 1.5 1.5 up to 2.52.5 up to 3.53.5 up to 4.5 greater than 4.5Frequency2713226
A scientist caught, weighed, and released 50 bullfrogs to collect data. A summary of the data is shown in the table above. Which of the following could be the
median weight, in pounds, of the bullfrogs caught?
Since there are 50 bullfrogs in the frequency table, we need to find the 25th and 26th bullfrog weight and average them to find the median. The table does not give exact weights,
but both the 25th and 26th bullfrog must be in the weight range 3.5 up to 4.5.
We know this because there are 2+7+13=22 frogs that weigh 2.5 pounds or lower. The next 22 frogs that weigh more are in the next weight range. Therefore, the 25th and 26th bullfrogs must be in the next weight range.
Weight range, in pounds lower than 1.5 1.5 up to 2.52.5 up to 3.53.5 up to 4.5 greater than 4.5Frequency2713226