# Statistical Analysis of BMI and Physical Activity of Children and Teenagers

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1. c. Median and Interquartile range
2. d. In this sample, the average BMI of the children is 20.27 kg/m2, with a standard deviation of
3.67 kg/m2.
3. iii. No, variable BMIT already has a Normal distribution
Figure 1: Box Plot of BMIT Shows that the Variable is Normal
Table 1: Descriptive Values for BMIT Shows Slight Positive Skewness
Descriptive
Statistic Std.
Error
Mean 24.2157 .57690
95% Confidence Interval for Mean
Lower Bound 23.0625
Upper Bound 25.3689
5% Trimmed Mean 24.1857
Median 23.9100
Variance 20.968
Std. Deviation 4.57904
Minimum 15.36
Maximum 35.77
Range 20.41
Interquartile Range 6.64
Skewness .168 .302
Kurtosis -.481 .595
Table 2: Tests of Normality for BMIT
Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
BMIT .078 63 .200* .986 63 .686
*. This is a lower bound of the true significance.
a. Lilliefors Significance Correction
Figure 2: Q-Q Plot for BMIT Shows that BMIT is Normal
4. i. Mean and standard deviation. The reason is that variable BMIT has a normal (symmetric)
distribution.
5. IV. 90% of the children in this sample had their BMI ranged from 15.06 (mean-2SD) to 33.37
(mean+2SD) kg/m2
6. IV. Of the children who consumed more than 5000 kJ, more of them also tend to spend more
than 45 minutes playing sports (60%).

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