Self Studies

Measures of Cen...

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  • Question 1
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    Priya jogged for a total of $$30$$ minutes. Her average speed for the first $$10$$ minutes was $$5$$ miles per hour. During the last 20 minutes, she jogged $$2.5$$ miles. What was the average speed of her entire jog?

  • Question 2
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    The average (arithmetic mean) of all the grades on a certain algebra test was $$90$$. If the average of the $$8$$ males grades was $$87$$, and the average of the females grades was $$92$$, calculate the number of female students.

  • Question 3
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    Find the arithmetic mean of $$\dfrac {1}{2}, \dfrac {1}{3}, 2n$$ and $$m$$.

  • Question 4
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    $$M$$ is a set consisting of a finite number of consecutive integers. If the median of the numbers in set $$M$$ is equal to one of the numbers in set $$M$$, which of the following must be true?
    $$I.$$ The average (arithmetic mean) of the numbers in set $$M$$ equals the median.
    $$II.$$ The number of numbers in set $$M$$ is odd.
    $$III.$$ The sum of the smallest number and the largest number in set $$M$$ is even

  • Question 5
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    What is the weighted arithmetic mean of the first $$n$$ natural numbers whose weights are equal to the corresponding numbers?

  • Question 6
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    A sample of $$25$$ scores has a mean $$75$$, median $$79$$ and standard deviation of $$8$$. If you increase every score by $$10$$, which of the following is true?
    $$I$$. The new mean is $$85$$
    $$II$$. The new median is $$89$$
    $$III$$. The new standard deviation is $$18$$

  • Question 7
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    Brian got grades of $$92,89$$ and $$86$$ on his first three math tests. What grade must he get on his final test to have an overall average of $$90$$?

  • Question 8
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    The sum of four consecutive odd integers $$w, x, y,$$ and $$z$$ is $$24$$. What is the median of the set $$\left \{w, x, y, z, 24\right \}$$?

  • Question 9
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    X, Y, Z are three sets of values.
    Which of the following statements is true?

  • Question 10
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    The table below shows the number of cars Jing sold each month last year. What is the median of the data in the table?

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