Heights cm 145x149 149x154 154x159 159x164 164x169 169x174 174x179 Frequency 2

Heights cm 145x149 149x154 154x159 159x164 164x169

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Heights (cm) 145≤x<149 149≤x<154 154≤x<159 159≤x<164 164≤x<169 169≤x<174 174≤x<179 Frequency 2 5 16 9 5 2 1 Calculate the: i. Median height ii. Lower quartile 1 Name:………………………………………………..Adm:No…………………..Class:………
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iii. Upper quartile iv. Quartile deviation v. 80 th percentile 5. The frequency table shows the measurement of heights in cm, taken from a school. Class Frequency 50-59 5 60-64 4 65-69 8 70-79 8 80-89 2 90-94 3 Using a suitable scale, draw i. A histogram ii. A frequency polygon to represent this information. 6. The distribution of income of 100 workers in a company is given the table below. Income in £ Number of workers 0<x≤1000 7 1000<x≤2000 12 2000<x≤3000 10 3000<x≤4000 10 4000<x≤5000 12 5000<x≤75000 26 7500<x≤10,000 23 a. Calculate the mean income using an assumed mean of £3500. b. Calculate the standard deviation by scaling down by a certain factor. 7. i) The vertices of a triangle LMN are L (3, 4), M (3, 2) and N (5, 2). Under a rotation the vertices of the image are L (-1, 0), M (1, 0) and N (1, 2). a. Plot the object LMN and its image L 1 M 1 N 1 on the grid provided. (2mks) b. Hence, determine the centre and the angle of rotation. (4mks) ii) In the figure below triangle ABO represents a part of a school badge. The badge has symmetry of order 4 about O. Complete the figure to show the badger B A O C 2
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8. Triangle T has the vertices P (-2,1) Q(0,2) and R(0,5). Find the equation of the mirror line of the image if T 1 has the vertices P 1 (0,-1) Q 1 (1,1) and R 1 (4,1) 3
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