Mathematics: Need help written responses???

The answer is 62ft because 124 divided in half is 62ft. :)...

Need help written responses??? - id6889542, floobrr5

failingschooll0l

29.01.2022

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 = $\mu = 100 cm$

Standard deviation = $\sigma = 10 cm$

Empirical rule

68% of data lies within the first standard deviation from the mean i.e $.(\mu-\sigma , \mu+\sigma)=(100-10,100+10)=(90,110)$

95% of all the data will fall within two standard deviations i.e. $(\mu-2\sigma , \mu+2\sigma)=(100-2(10),100+2(10))=(80,120)$

99.7% of data lies within the three standard deviations i.e. $( \mu - 3 \sigma , \mu +3 \sigma)=(100-3(10),100+3(10))=(70,130)$

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 = $\frac{1}{2} \times 95\% = 47.5\%$

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

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