Skip to content

Course home

2.5 Data presentation and interpretation

2.5 Data presentation and interpretation

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193
Question 160

An environmental scientist is investigating the relationship between daily sunlight exposure and the concentration of Vitamin K in a specific species of mountain herb. The scientist has access to a population of 180 herbs in a controlled conservatory.

a.

Describe how the scientist should select a random sample of 10 herbs from the population.

[2]
b.

The scientist recorded the average daily sunlight exposure (in hours) over a month for the 10 herbs. The herbs were then ranked based on their Vitamin K concentration, with 1 representing the highest concentration and 10 the lowest. The results are shown in the table below:

HerbABCDEFGHIJVitamin K Rank12345678910Sunlight Exposure (h)12.213.010.511.18.89.27.57.95.86.4 \begin{array}{|l|c|c|c|c|c|c|c|c|c|c|} \hline \text{Herb} & A & B & C & D & E & F & G & H & I & J \\ \hline \text{Vitamin K Rank} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \text{Sunlight Exposure (h)} & 12.2 & 13.0 & 10.5 & 11.1 & 8.8 & 9.2 & 7.5 & 7.9 & 5.8 & 6.4 \\ \hline \end{array} HerbVitamin K RankSunlight Exposure (h)​A112.2​B213.0​C310.5​D411.1​E58.8​F69.2​G77.5​H87.9​I95.8​J106.4​​

Calculate Spearman's rank correlation coefficient for these data.

[4]
c.

The scientist believes that herbs receiving more sunlight exposure will have a higher concentration of Vitamin K. Test this belief at the 5% significance level. State your hypotheses clearly. (The critical value for n=10n=10n=10 at the 5% level of significance is 0.5636).

[4]
Markscheme

2.5 Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.5 Data presentation and interpretation

278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank