Use the table below to find the percentage of data items in a normal distribution that lie between $z=-0.9$ and $z=0.9$.
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The percentage of data items in a normal distribution that lie between $z=-0.9$ and $z=0.9$ is $\%$.
Answer
The percentage of data items in a normal distribution that lie between z=-0.9 and z=0.9 is \(\boxed{63.18\%}\)
Step 1 ：Find the area to the left of z=0.9 using the standard normal distribution table: 0.8159
Step 2 ：Find the area to the left of z=-0.9 using the standard normal distribution table: 0.1841
Step 3 ：Subtract the area to the left of z=-0.9 from the area to the left of z=0.9: 0.8159 - 0.1841 = 0.6318
Step 4 ：Convert the result to a percentage: 0.6318 * 100 = 63.18%
Step 5 ：The percentage of data items in a normal distribution that lie between z=-0.9 and z=0.9 is \(\boxed{63.18\%}\)
