0580 P43 - Nov 2016 - Q7 - 11 marks
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The diagram shows the prices of 100 cars on Website A.
| Lower quartile | Median | Upper quartile | Interquartile range |
|---|---|---|---|
| \$7600 |
(a(i)) Use the diagram to complete the table. [2]
For Website B:
| Lower quartile | Median | Upper quartile | Interquartile range |
|---|---|---|---|
| \$7600 | \$10800 | \$13600 | \$6000 |
For each statement, write True or False and give a reason stating the statistic used:
(a(ii)(a)) Prices on Website A are lower than prices on Website B. [1]
(a(ii)(b)) A greater percentage of cars cost more than \$13600 on Website A than on Website B. [1]
Website B has the following 120 cars:
| Price P (\$) | \(0<P\le6000\) | \(6000<P\le8000\) | \(8000<P\le10000\) | \(10000<P\le12000\) | \(12000<P\le14000\) | \(14000<P\le22000\) |
|---|---|---|---|---|---|---|
| Frequency | 9 | 29 | 20 | 14 | 21 | 27 |
(b) Calculate an estimate of the mean price. [4]
(c) A car costs \$8760. Bryan pays a 25% deposit followed by 24 equal monthly payments. His total payment is \$9948. Calculate one monthly payment. [3]
