Skip to content
Marlbridge

Flashcards · 4040 · Topic 7

Crude and standardised rates, and their appropriate use flashcards

11 cards on Topic 7. Pick a subtopic or study them all.

Study mode needs JavaScript. Every card is listed below, so you can still cover the answers and test yourself.

All 11 cards

For a quick read-through or printing. Cover the right-hand side to test yourself.

Topic 7: Crude and standardised rates, and their appropriate use

How is a crude death rate calculated?
Deaths ÷ total population × 1000, giving deaths per thousand people. Use the definition the question gives.
A country has 460 000 people and 4140 deaths in a year. Find the crude death rate
4140 ÷ 460 000 × 1000 = 9.0 per thousand.
A region has 11 500 women aged 15 to 49 and 690 births to them. Find the fertility rate
690 ÷ 11 500 × 1000 = 60.0 per thousand women. The denominator is women in the stated age range, not the whole population.
A bus depot has 640 drivers and 24 accidents. Find the accident rate
24 ÷ 640 × 1000 = 37.5 per thousand drivers.
Why can crude death rates give a misleading comparison between two towns?
Death rates depend on age, and towns can have different proportions of older people. The crude rate reflects that make-up as well as the risk in each age group.
What is the formula for a standardised rate?
Σ(standard population of group × group rate) ÷ Σ(standard population): a weighted average of the group rates, weighted by the standard population given in the question.
Standard population: 7000 children, 3000 adults. Accident rates 5 and 12 per thousand. Find the standardised rate
(7000 × 5 + 3000 × 12) ÷ 10 000 = (35 000 + 36 000) ÷ 10 000 = 7.1 per thousand.
Town X: crude 11.2, standardised 8.4. Town Y: crude 9.8, standardised 9.1. Interpret
X has the older population, since its crude rate is far above its standardised rate. Y has the higher death rate once age is allowed for (9.1 against 8.4).
A district of 75 000 people has a crude death rate of 9.6 per thousand. How many deaths?
Deaths = rate × population ÷ 1000 = 9.6 × 75 000 ÷ 1000 = 720.
What should you write when crude and standardised rates rank two populations differently?
Quote both pairs of rates and explain the reversal by naming the difference in make-up, for example a smaller share of people aged 60 and over, which lowers one population's crude rate.
Does a higher death rate mean a population has more deaths?
Not necessarily. Rates and totals answer different questions: check the population sizes before claiming more events.