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Cambridge International A Level Biology Revision Guide

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<strong>Cambridge</strong> <strong>International</strong> AS <strong>Level</strong> <strong>Biology</strong><br />

256<br />

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■■<br />

■■<br />

■■<br />

■■<br />

Rennin<br />

concentration<br />

/ %<br />

0.0<br />

Time to reach end-point / s<br />

1st<br />

reading<br />

did not<br />

clot<br />

2nd<br />

reading<br />

did not<br />

clot<br />

3rd<br />

reading<br />

did not<br />

clot<br />

Mean<br />

did not<br />

clot<br />

0.2 67.2 68.9 67.8 68.0<br />

0.4 48.1 46.9 47.3 47.4<br />

0.6 30.1 31.9 30.1 30.7<br />

0.8 20.3 19.2 19.9 19.8<br />

1.0 13.1 18.9 12.7 12.9<br />

Table P1.1 Results for an experiment to investigate the effect<br />

of enzyme concentration on the rate of activity of rennin. The<br />

reading in bold italics is an anomalous result and has been<br />

excluded from the calculation of the mean.<br />

The table is drawn with ruled columns, rows and a<br />

border. The purpose of a results table is to record your<br />

results clearly, so that you and others can easily see<br />

what they are, and so that you can use them easily to<br />

draw a graph or to make calculations. Drawing neat,<br />

clear lines makes it much easier to see the results at<br />

a glance.<br />

The columns are clearly headed with the quantity and<br />

its unit. (Use SI units.) Sometimes, you might want<br />

to arrange the table the other way round, so that it is<br />

the rows that are headed. Sometimes, both rows and<br />

columns might need to include units. The important<br />

thing to remember is that the units go in the heading,<br />

not with the numerical entries in the table.<br />

The results are organised in a sensible sequence. The<br />

values for the rennin concentration go up from the<br />

lowest to the highest.<br />

The independent variable (rennin concentration) comes<br />

first, followed by the readings of the dependent variable<br />

(time taken to reach end-point).<br />

Each measurement of the dependent variable is taken<br />

to the same number of decimal places. You would<br />

have used a stopwatch to take these readings, and it<br />

probably gave a reading to one hundredth, or even one<br />

thousandth, of a second. So the first reading on the<br />

watch could have been 67.207. However, as we have<br />

seen, it is very difficult to judge this end-point, so to<br />

suggest that you can time it to the nearest thousandth<br />

of a second is not sensible. You can perhaps justify,<br />

however, recording the values to the nearest one<br />

tenth of a second, rounding up or down the reading on<br />

the watch.<br />

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■■<br />

■■<br />

The values calculated for the mean are given to the<br />

same number of decimal places as the individual<br />

readings. This is very important to remember. If you<br />

have only recorded the individual readings to the<br />

nearest one tenth of a second, then it is wrong to<br />

suggest you can calculate the mean to one hundredth<br />

or one thousandth of a second.<br />

In the last row, the readings for the rennin at a<br />

concentration of 1% contain an anomalous result. The<br />

second reading (shown in bold italics) is clearly out of<br />

line with the other two, and looks much too close to the<br />

readings for the 0.8% rennin solution. You can’t know<br />

what went wrong here, but something clearly did. If<br />

you are in a position to do so, the best thing to do about<br />

an anomalous result is to measure it again. However,<br />

if you can’t do that, then you should ignore it. Do not<br />

include it in your calculation of the mean.<br />

The mean for this row is therefore calculated as<br />

(13.1 + 12.7) ÷ 2 = 12.9.<br />

The first row of the table records that the milk ‘did<br />

not clot’. An alternative way of recording this would<br />

be to record the time as infinite (symbol: ∞). This can<br />

then be converted to a rate like all the other results by<br />

calculating<br />

1<br />

time . Note that ∞ 1 = 0 (zero rate).<br />

QUESTION<br />

Constructing a line graph<br />

You will generally want to display the results in a table as a<br />

graph. Figure P1.12 shows a line graph constructed using<br />

the results in Table P1.1.<br />

Once again, there are several important points to note<br />

about this graph, which you should always bear in mind<br />

whenever you construct and complete a graph.<br />

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P1.4 Look back at the experiment described in Question<br />

P1.1, and your answers to Questions P1.2 and P1.3.<br />

Construct a results table, with full headings, in which<br />

you could record your results.<br />

The independent variable goes on the x-axis<br />

(horizontal axis), and the dependent variable on the<br />

y-axis (vertical axis).<br />

Each axis is fully labelled, including the units. Usually,<br />

you can simply copy the headings that you have used in<br />

the results table.<br />

The scale on each axis goes up in equal intervals, such<br />

as 1 s, 2 s, 5 s or 10 s intervals. You would not therefore,<br />

have an axis that read 20 °C, 30 °C, 50 °C, 60 °C, 80 °C.

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