Answer: a) 1683
Step-by-step explanation:
First, let's find the z-score using the formula: [tex]z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]z=\dfrac{51-49.2}{1.8}=\dfrac{1.8}{1.8}=\boxed{1.00}[/tex]
Next, refer to the z-score table below to find the value of 1.00
Look on the left side for 1.0 and the top for 0.00 to find the percent for 1.00. The table shows the percent above the MEAN so you need to add the percent below the mean (50%) to the value in the table.
0.3413
+ 0.5
0.8413
Now multiply that percent by the total number (2000) of girls to find out the quantity of girls who are 51 cm or shorter.
0.8413
× 2000
1682.6
