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Height and weight are key measurements for tracking a child’s development. The World Health Organization assesses child development by comparing the weights of children of the same height and gender. In 2009, the weights of all 80 cm girls in a reference population were normally distributed with a mean of 10.2 kg and a standard deviation of 0.8 kg.
Using this information, calculate the following probabilities or values for the weights of 80 cm girls:
The percentage of girls with weights between 10.2 kg and 11 kg.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of girls with weights between 10.2 kg and 11.8 kg.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of girls with weights greater than 9.4 kg.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
In 2010, if there were 545 girls who were 80 cm tall, estimate the number of girls with weights between 9.4 kg and 11 kg. (
calculatrice
!
e
\(\pi\)
(
)
%
AC
sin
cos
tan
7
8
9
/
\(\sin^{-1}\)
\(\cos^{-1}\)
\(\tan^{-1}\)
4
5
6
*
\(x^2\)
\(\sqrt{\phantom{2}}\)
x
y
1
2
3
-
ln
exp
log
0
.
=
+
and round to the nearest integer.)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
girls
For a normal distribution, the coverage probabilities are illustrated below:
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