Question 1 Report
6. Use the statistics in the table below to answer the questions that follow:
| Months | J | F | M | A | M | J | J | A | S | O | N | D |
(a) Draw a Divergence Line Graph to represent the statistics.
(b) (i) Calculate the annual range of temperature.
(ii) State one other method of showing the statistics above.
(a) Divergence line graph
The monthly temperatures and their departures from the annual mean are:
| Month | J | F | M | A | M | J | J | A | S | O | N | D |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Temperature (°C) | 10 | 14 | 22 | 32 | 42 | 48 | 44 | 38 | 32 | 24 | 16 | 10 |
Annual mean temperature:
\[\bar T=\frac{10+14+22+32+42+48+44+38+32+24+16+10}{12}=\frac{332}{12}=27.7^\circ\text{C}\]
The bold horizontal line on the graph represents the mean temperature, or zero departure. Temperatures above it are positive departures and those below it are negative departures.
(b)(i) Annual range of temperature
\[\text{Annual range}=\text{temperature of hottest month}-\text{temperature of coldest month}\]
\[=48^\circ\text{C}-10^\circ\text{C}=\boxed{38^\circ\text{C}}\]
(b)(ii) One other method of showing the statistics is a simple bar graph.
Everything you need to excel in your exams