Answer:
1.5
Step-by-step explanation:
The mean is the Middle number.
1 standard deviation in both sides of 7.5 makes it between 6 and 9.
What is the "common difference" in 6 to 7.5 and from 7.5 to 9?
[tex]7.5-6=1.5[/tex]
and
[tex]9-7.5=1.5[/tex]
So, we would say the standard deviation is 1.5
Answer choice A is right.
The standard deviation of the shoe size data for the math class in which mean shoe size of the students is 7.5, is 1.5.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The mean shoe size of the students in a math class is 7.5.
[tex]\mu=7.5[/tex]
Most of the shoe sizes fall between a size 6 and a size 9. Thus,
[tex]6 < x < 9[/tex]
Most of the shoe sizes fall within 1 standard deviation.
[tex]\mu-1\sigma < x < \mu+1\sigma[/tex]
Thus, the value of standard deviation,
[tex]7.5-\sigma=6 \text{ and } 7.5+\sigma=9\\\sigma=7.5-6 \text{ and } \sigma=9-7.5\\\sigma=1.5 \text{ and } \sigma=1.5[/tex]
Thus, the standard deviation of the shoe size data for the math class in which mean shoe size of the students is 7.5, is 1.5.
Learn more about the mean of the data here;
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