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ipn [44]
3 years ago
11

At a fishery, the largest catches in August were of black fin tuna sailfish blue marlin and king mackerel. The fishery calculate

d 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?

Mathematics
2 answers:
777dan777 [17]3 years ago
7 0

Answer:

Blue Marlin

Step-by-step explanation:

aniked [119]3 years ago
5 0

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!!!

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The rate of change is 16.8 million tons per year

<em><u>Solution:</u></em>

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

<em><u>The average rate of change is given by formula:</u></em>

\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}

Value in 1950 = 12 million tons

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Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

<em><u>Substitute the given values in formula,</u></em>

<em><u></u></em>\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}<em><u></u></em>

Thus rate of change is 16.8 million tons per year

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Step-by-step explanation:

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