To find the distance of each boy's height from the mean, we use the following formula for the distance from the mean:
[tex]\[ \text{Distance from mean} = x - \mu \][/tex]
where [tex]\( x \)[/tex] is the actual height of the boy, and [tex]\( \mu \)[/tex] is the mean height for boys of his age.
Given the data:
- Jose is 51 inches tall and 7 years old.
- Jamal is 55.7 inches tall and 12 years old.
From the table:
- For 7 years old, the mean height ([tex]\( \mu \)[/tex]) is 49 inches.
- For 12 years old, the mean height ([tex]\( \mu \)[/tex]) is 58 inches.
We will calculate the distances as follows:
### Distance of Jose's height from the mean
[tex]\[ \text{Distance of Jose's height from mean} = 51 - 49 = 2 \text{ inches} \][/tex]
### Distance of Jamal's height from the mean
[tex]\[ \text{Distance of Jamal's height from mean} = 55.7 - 58 = -2.3 \text{ inches} \][/tex]
The distances are:
- Distance of Jose's height from mean: [tex]\( 2 \)[/tex] inches
- Distance of Jamal's height from mean: [tex]\( -2.3 \)[/tex] inches
