For the following table displays the heights (in inches) of students enrolled in an elementary school and the corresponding frequency; the sample mean for the table is 47.96 inches.  Use the formulas for grouped data  to approximate the sample standard deviation. Enter exact values in the table  (integers or decimals - no rounding). Round the variance and the standard deviation to the nearest hundredth. Height (in inches) Class Midpoint X # students frequency, f     40-42 41 5     43-45 44 9     46-48 47 12     49-51 50 13

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For the following table displays the heights (in inches) of students enrolled in an elementary school and the corresponding frequency; the sample mean for the table is 47.96 inches. 

Use the formulas for grouped data  to approximate the sample standard deviation. Enter exact values in the table  (integers or decimals - no rounding). Round the variance and the standard deviation to the nearest hundredth.

Height (in inches)

Class Midpoint

X

# students

frequency, f

 

 

40-42 41 5    
43-45 44 9    
46-48 47 12    
49-51 50 13    
52-54 53 11    

 = 

sample variance = 

sample st dev =

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