Math AA SL: Presentation of Data

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[Maximum Mark: 6]

The box-and-whisker plot shows the number of points scored by players on a basketball team.

a) Find the value of the interquartile range.

b) One student scored x points, where x>14. Given that x is an outlier, find the least value of x.

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[Maximum Mark: 7]

A group of 30 students took a survey. The survey revealed that 25 of them take
a math class and that 7 of them take a history class. 

I and J represent the amount of students. 
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a) What are the values of i and j?

b) What is the probability that a randomly selected student is taking math but not history?
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[Maximum Mark: 5]

Consider a four-sided, unbiased die with faces labeled 1,2,3,4.
The random variable Y represents the number of throws required to obtain a 1.

a. State the distribution of Y

The probability generating function, F(m), for Y is given by, F(m) = \frac{t}{4-3t}
b. Determine F^{'}(m)

c. Determine the mean number of throws required to obtain a 1
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[Maxmimum Mark: 6]

The diagram below is a box-and-whisker plot for a set of data.
The interquartile range is 21 and the range is 44.

a) Write down the median value. 

b) Find the values of a and b. 

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[Maximum Marks: 6]

The following box-and-whisker plot represents the points scored on the Chemistry final.
 
a) Find the value of the Interquartile Range
 
b) A student scores k points, where k>86. Given that k is an outlier, find the least value of k


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[Maximum Marks: 7]

A box contains 100 cards. Each card has a number between one and six written on it. 
The following table shows the frequencies for each number.

a) Calculate the value of k

b) Find
i) The median
ii) The Interquartile range

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[Maximum Marks: 6]

A standard die is rolled 35 times. The results are shown in the following table.

a) Write down the standard deviation.

b) Write down the median score.

c) Find the interquartile range.

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[Maximum Marks: 7]

The following table gives the examination grades for 120 students.

a) Find the value of
i)  p 
ii) q

b) Find the mean grade 

c) Write down the standard deviation

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[Maximum Marks: 6]

This box-and-whisker plot shows the number of phone calls made by students in a school on a particular day.

a) Find the value of the interquartile range.

b) One student sent k phone calls, where k>10 . Given that k is an outlier, find the least value of k.

  
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