Answer
See below.
Work Step by Step
The mean of $n$ numbers is the sum of the numbers divided by $n$. The median of $n$ is the middle number of the numbers when they are in order (and the mean of the middle $2$ numbers if $n$ is even). The mode of $n$ numbers is the number or numbers that appear(s) most frequently.
Hence here the mean is $\frac{14.9+ 14.3+ 20.1+ 30.5+ 76.9+ 59.8+ 57.2+ 40.2+ 59.8+ 46.5+ 16.4+ 18.8}{12}=37.95$; the median is the mean of the middle items in the sequence $14.3, 14.9, 16.4, 18.8, 20.1, 30.5,40.2,46.5,57.2,59.8,59.8, 76.9$ which is: $(30.5+40.2)/2=35.35$; and the mode is $59.8$.
The range is the difference between the largest and the smallest data value. The standard deviation of $x_1,x_2,...,x_n$ is (where $\overline{x}$ is the mean of the data values): $\sqrt{\frac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+...+(x_n-\overline{x})^2}{n}}$.
Hence here the range is: $76.9-14.3=62.6$ and the standard deviation is: $\sqrt{\frac{(14.9-37.95)^2+(14.3-37.95)^2+...+(76.9-37.95)^2}{12-1}}\approx21.7769$
When every value of a data set is multiplied by a constant, the new mean,
median, mode, range, and standard deviation can be obtained by multiplying
each original value by the constant.
Here the constant is $0.03937$, hence in inches the mean is: $37.95\cdot 0.03937=1.494$
The median is: $35.35\cdot 0.03937=1.392$.
The mode is: $59.8\cdot 0.03937=2.354$
The range is: $62.6\cdot 0.03937=2.465$
The standard deviation is: $21.7769\cdot 0.03937=0.857$.
