Consider these four data sets.
2 answers:
Answer: Set C is correct answer.
Step-by-step explanation:
Symmetrical distribution is a type of distribution in which all data occurs at regular frequencies, and the measures of central tendency is occurred at same point.
Here, we can see from the options that
Set C has data with same difference i.e. 5
Here, Median would be 17 as the median is the central value after arranging the data value in ascending order.
Mean =
∴ Mean = 17
Mode = 3 Median - 2 Mean
∴ Mode = 7
Thus, all mean, median and mode is occurred at same point i.e. 7.
Hence, Set C is correct answer.
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Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400
Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall:
Therefore:
The minimum cost occurs when the derivative of the Cost =0.
r=3.17 cm
Recall that:
h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.