The table gives some information about the heights of 60 boys.
Least height
Greatest height
Lower quartile
Upper quartile
Median
142 cm
181 cm
149 cm
160 cm
156 cm
a) Complete the boxplot for this information,
130 140 150 160 170 180
(3)
height (cm)
b) Work out an estimate for the number of these boys with a height between
149 cm and 181 cm.
2.

step-by-step explanation:

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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