Answer: 23.9
Step-by-step explanation:
1. First, you must calculate the mean, as following:
[tex]\frac{12+16+22+23+34+44+46+47+48+64+67+73+83+89}{14}=47.71[/tex]
2. Now, you should substract the means obtained to every single number of the set and then square it. Add all of them:
[tex](12-47.71)^{2}+(16-47.71)^{2}+(22-47.71)^{2}+(23-47.71)^{2}+(34-47.71)^{2}+(44-47.71)^{2}+(46-47.71)^{2}+(47-47.71)^{2}+(48-47.71)^{2}+(64-47.71)^{2}+(67-47.71)^{2}+(73-47.71)^{2}+(83-47.71)^{2}+(89-47.71)^{2}=7984.86[/tex]
3. The mean of this is:
[tex]\frac{7984.8574}{14}=570.35[/tex]
4. The square root of this result is:
[tex]\sqrt{2.52}=23.88[/tex]
5. To the nearest tenth, the result is: 23.9
