Question

At a fishery, the largest catches in August were of black fin tuna sailfish blue marlin and king mackerel. The fishery calculated the mean and standard deviation of the weight in pounds of each type of fish as shown in the table. Which data set has the smallest spread?

Answer 1

Answer:

Blue Marlin

Step-by-step explanation:

Answer 2

Answer:

Blue Marlin.

Step-by-step explanation:

In any data set, mean tells about the central tendency of the data. It actually tells the average of the data. On the other hand, standard deviation tells about the spread of the data. It actually tells to what extent the observational values revolve around the mean. Mean is not a good summary statistic of any data since it does not convey the complete information. In order to understand the spread of the data, standard deviation is calculated. The smaller the standard deviation, smaller the spread of the data. It has to be kept in mind that mean has nothing to do with the spread of the data. Smaller the standard deviation, smaller the spread. In this case, lowest standard deviation is of Blue Marlin, which is 1.97. Rest of the standard deviations are larger. This means that Blue Marlin has the smallest spread!!!