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COMPUTE THE MEASURES OF SPREAD FOR THE DATA COLLECTED FOR BOYS AND GIRLS. DESCRIBE THEIR DIFFERENCES IN DETAIL USING SPECIFIC TERMS OF SPREAD.

The Board:


Boys: 50, 32, 15, 56, 81, 50, 18, 81, 22, 55


Girls: 75, 41, 25, 22, 7, 0, 43, 12, 45, 70

2 Answers

4 votes

Answer:

For the girls, the range is 66, and for the boys the range is 75. Due to the boys having a larger range, this must mean that the boy’s data set is more varied than the girls. Regarding the girls data set, the lower quartile is 22, the upper is 56, and the interquartile range is 34. For the boys the lower quartile is 12, the upper is 45, and the IQ range is 33. The IQ range’s being very similar show that for both data sets, the middle values are the same amount spread out within that middle 50% of the data. The mean absolute deviation for the girls is 19.4, and for the boys it is 20.8. The boys having a larger MAD then the girls mean that the boys have a larger variability in their data set of how many songs were downloaded.

Explanation:

this is what I said, change wording :)

User Eugene Platonov
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4.7k points
5 votes

Answer: Girls:

Range:66

Lower Quartile: 22

Upper Quartile: 56

IQ Range: 34

Mean Absolute Deviation: 19.4

Boys:

Range: 75

Lower Quartile: 12

Upper Quartile: 45

IQ Range: 33

Mean Absolute Deviation: 20.8

Step-by-step explanation: EDG2020

User Hans Dash
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4.7k points