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GRP and impressions example 2

Optional numerical practice

Extra drills; no claim that these exact questions or allocated marks appeared in TEE

Faculty-note worked example. A campaign reaches 75% of a target population of 20,000 with an average frequency of 5.4. Find GRP, unique people reached and gross impressions. All figures refer to the same period. [3 practice marks]

Answer

Faculty-note worked example: the values come from APR M2 notes p28. The question has been rewritten to teach the steps; this is not verbatim PYQ wording. Any practice-mark allocation is author-set.

Given

ReachAverage frequencyTarget
75%5.420000

To find

GRP, reached people and impressions.

Formula and why

\text{GRP}=R_{\%}\bar fLaTeX: \text{GRP}=R_{\%}\bar f
n=\frac{R_{\%}}{100}N,\qquad I=n\bar fLaTeX: n=\frac{R_{\%}}{100}N,\qquad I=n\bar f

Use the percentage number in GRP. Divide it by 100 when finding a fraction of the population.

Step-by-step solution

Step 1. Calculate GRP

75\times5.4=405\text{ GRPs}LaTeX: 75\times5.4=405\text{ GRPs}

Step 2. Convert reach to a fraction

75\div100=0.75LaTeX: 75\div100=0.75

Step 3. Calculate unique people reached

0.75\times20000=15000LaTeX: 0.75\times20000=15000

Step 4. Calculate gross impressions

15000\times5.4=81000LaTeX: 15000\times5.4=81000

Final answer: 405 GRPs; 15,000 people; 81,000 gross impressions.