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IB MAI HL Statistics & Probability Topic 4.1 Descriptive Statistics (id: 5f1fe1c

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admin 发表于 2024-3-4 23:08:17 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.1 Descriptive Statistics,类别为 IB数学

[填空题]
The cumulative frequency curve below shf yds*l v dta8ea6c e(;,/zc0(8q,huhj mt6lf own7l ;gin9d9uo1qc lf /dk bf58s the serving speed, in km/h, of a sample of 80 randomly chosen serves by Roger Federer, the famous Swiss p81cluig9dn/ 7b lf 9qn f;ko5drofessional tennis player.



Give your answers to the following correct to the nearest whole number, wherever applicable.
1. Estimate the minimum and maximum speeds of these serves. min =    km/h max =    km/h
2. Estimate the median speed of these serves.   km/h
3. Estimate the lower and upper quatiles. $Q_1$ =   km/h $ Q_2$ =   km/h
4. Calculate the interquartile range.   
5. Estimate the number of serves that had speed of more than 215 $\mathrm{~km} / \mathrm{h}$ .   

The table below shows speeds of these serves.




6. Find the values of x and y . x =    y =   
7. Write down
(1) the modal class;
(2) the mid-interval value of the modal class.   
8. Estimate the below using your Graphic Display Calculator.
(1) the mean speed of these serves;    km/h
(2) the standard deviation.    km/h
9. Estimate the percentage of the serves where the serving speed differs from the mean by no more than 20 $\mathrm{~km} / \mathrm{hr}$ .    %




参考答案:
空格1: 182±2%空格2: 230±2%空格3: 209±2%空格4: 199±2%空格5: 216±2%空格6: 17±2%空格7: 22±2%空格8: 6空格9: 21空格10: 205±2%空格11: 207±2%空格12: 11±2%空格13: 91±2%


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