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47.5% of students fall within heights of 100 cm to 120 cm

Step-by-step explanation:

We are given that heights of Grade 1 students are normally distributed

Mean =

Standard deviation =

a)

Empirical rule

68% of data lies within the first standard deviation from the mean i.e

95% of all the data will fall within two standard deviations  i.e.

99.7% of data lies within the three standard deviations i.e.

b)Percentage of students fall within heights of 100 cm to 120 cm

Using the normal distribution curve

Percentage of students fall within heights of 100 cm to 120 cm =

Hence 47.5% of students fall within heights of 100 cm to 120 cm

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step-by-step explanation:

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