The standard deviation for the cost of mobile cell phones is 10.925.
Given
Mobile cell phone cost Number of students
10-19.99 7
20-29.99 20
30-39.99 28
40-49.99 12
50-59.99 7
We have to calculate the standard deviation of the given data.
Standard deviation is a measure which measures the variation in te values of data sets.
We know that the formula of calculating standard deviation is as under:
Standard deviation=[tex]\sqrt{sum of f(x- mean)^{2} }[/tex]/[tex]\sqrt{sum of f-1}[/tex]
Mean=33.91392 (calculated in figure)
∑f[tex](x-mean)^{2}[/tex]=8713.514 (calculated in image)
∑f-1=74-1=73
We have to now just put the values and find the value of standard deviation.
Standard deviation=[tex]\sqrt{8713.514/73}[/tex]
=[tex]\sqrt{119.36}[/tex]
=10.925
Hence the standard deviation of mobile cost is 10.925.
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