Monday 2 March 2015

5th Homework 5.3 Due Mon 9th March Total 22

  1. Copy and complete the table. \begin{array}{|c|c|c|} \hline \text{Height in cm} & \text{Freq.} & \text{Cum. Freq.} & \text{Freq. Den.} \\ \hline \text{100 $\leq$ h < 115} & 5 & & \\ \hline \text{115 $\leq$ h < 120} & 11 & & \\ \hline \text{120 $\leq$ h < 150} & 39 & & \\ \hline \text{150 $\leq$ h < 200} & 25 & & \\ \hline \end{array}

    [3]

    1. Using axes: $100 \leq x \leq 200$ and $0 \leq y \leq 80$, plot a LARGE, CLEAR cumulative frequency curve
    2. From your curve, estimate the median
    3. From your curve, estimate the Inter Quartile Range (IQR) by finding the UQ and LQ
    4. Complete: 15% of pupils were more than _____cm tall

      [8]

  2. By constructing an appropriate table, find an estimate of the mean spent:

    [4]

  3. Simplify $3\sqrt{50} - 4\sqrt{18}$

    [3]

  4. Expand and simplify $(3\sqrt{50} - 4)(5\sqrt{18}-2)$

    [4]

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