Find the range and standard deviation for the set of numbers. \[ 88,104,114,125,130,138,176 \] The range is 88 . The standard deviation is $\square$. (Round to the nearest tenth as needed.)

Step 1 ：To find the range of a set of numbers, subtract the smallest number from the largest number. In this case, the range is \(176 - 88 = 88\).

Step 2 ：To find the standard deviation, we first need to find the mean (average) of the set of numbers. The mean is calculated by adding all the numbers together and dividing by the number of numbers. So, \(\text{Mean} = \frac{88 + 104 + 114 + 125 + 130 + 138 + 176}{7} = \frac{875}{7} = 125\).

Step 3 ：Subtract the mean from each number and square the result. This gives us \((88 - 125)^2 = 1369\), \((104 - 125)^2 = 441\), \((114 - 125)^2 = 121\), \((125 - 125)^2 = 0\), \((130 - 125)^2 = 25\), \((138 - 125)^2 = 169\), and \((176 - 125)^2 = 2601\).

Step 4 ：Find the mean of these squared differences. This is calculated as \(\frac{1369 + 441 + 121 + 0 + 25 + 169 + 2601}{7} = \frac{5726}{7} = 818.0\).

Step 5 ：Take the square root of the mean of these squared differences. The square root of 818.0 is approximately 28.6 when rounded to the nearest tenth. So, the standard deviation is \(\sqrt{818.0} \approx 28.6\).

Step 6 ：So, the range is \(\boxed{88}\) and the standard deviation is \(\boxed{28.6}\).