June 2022 Paper 2 Q10
10 The table shows the age structure of usual residents of 18 Local Authorities (LAs) in the North West region of the UK in 2011.
| Local Authority | Age 0 to 17 | Age 18 to 24 | Age 25 to 64 | Age 65 and over |
|---|---|---|---|---|
| A | 26.20% | 9.06% | 51.81% | 12.92% |
| B | 23.32% | 8.99% | 52.32% | 15.37% |
| C | 22.24% | 8.96% | 52.56% | 16.23% |
| D | 22.67% | 8.10% | 53.27% | 15.96% |
| E | 20.70% | 7.77% | 54.77% | 16.76% |
| F | 18.14% | 6.51% | 51.13% | 24.21% |
| G | 18.96% | 14.20% | 48.51% | 18.33% |
| H | 19.06% | 14.79% | 52.12% | 14.04% |
| I | 25.15% | 9.04% | 51.16% | 14.65% |
| J | 22.93% | 8.81% | 52.22% | 16.04% |
| K | 21.48% | 13.98% | 50.82% | 13.73% |
| L | 23.98% | 9.20% | 52.26% | 14.56% |
| M | 21.67% | 11.19% | 52.94% | 14.19% |
| N | 17.82% | 6.01% | 51.93% | 24.23% |
| O | 22.83% | 7.30% | 53.86% | 16.01% |
| P | 21.76% | 8.28% | 54.03% | 15.93% |
| Q | 21.42% | 8.43% | 53.90% | 16.25% |
| R | 18.61% | 7.33% | 49.35% | 24.71% |
Percentage of residents
Use this information to comment on your answers to part (b)(ii) and part (c). [2]
In a magazine article, a councillor plans to describe a typical LA in the North West region. He wants to quote the average percentage of residents aged 65 or over.
Use this information, and the information given in part (d), to explain whether the median or the mean better represents the data in the column “Age 65 and over”. [2]
| Scheme | Marks | AO |
|---|---|---|
| (i) High(er) or increased proportion 18–24 | B1 | 2.2b |
| [1] | ||
| (ii) High(er) or increased proportion either/both | B1 | 2.2b |
| [1] | ||
| (iii) Low(er) or decreased proportion either/both | B1 | 2.2b |
| [1] |
Notes
All parts of Q10: Allow “percentage” or “value” or “number” or “rate” etc for proportion in all parts of qu 10
(a)(i) B1: eg “many 18-24” Ignore any LA mentioned
Ignore extras only if they don’t contradict High 18-24 only
(a)(ii) B1: or high proportion of younger. Ignore any LA mentioned
Ignore extras
(a)(iii) B1: or low proportion of younger. Ignore any LA mentioned
eg “LA F because low % in younger ages” B1
Ignore extras
| Scheme | Marks | AO |
|---|---|---|
| (i) G, H, K, M | B1 | 2.2b |
| [1] | ||
| (ii) F, N, R | B1 | 2.2b |
| [1] |
Notes
All parts of Q10: Allow “percentage” or “value” or “number” or “rate” etc for proportion in all parts of qu 10
(b)(i) B1: No extras or omissions
(b)(ii) B1: No extras or omissions
| Scheme | Marks | AO |
|---|---|---|
| Imply need to consider other age range(s) Examples: May be a large % of 25-64 (or 65+) Some LAs have low 0-17 and 18-24 and 65+ Low 0-17 & 18-24 does not mean high 65+ Need to consider other factors or anomalies | B1 | 2.3 |
| [1] |
Notes
All parts of Q10: Allow “percentage” or “value” or “number” or “rate” etc for proportion in all parts of qu 10
B1: Low 0-17 & 18-24 not \(\Rightarrow\) attractive to older
High % of young people does not necessarily imply low % of older people
Older people may want live near young relatives
Eg May be reasons for low % younger people eg no schools
| Scheme | Marks | AO |
|---|---|---|
| State all 3 LAs are > 1.5×IQR above UQ | B1 | 1.2 |
| Confirms F, N, R (implied) despite (c) | B1 | 2.2a |
| [2] |
Notes
All parts of Q10: Allow “percentage” or “value” or “number” or “rate” etc for proportion in all parts of qu 10
NB. No ft for either mark
B1: Or \(16.76 + 1.5 \times (16.76 - 14.56)\) \((= 20.06)\)
Ignore attempt at lower limit
B1: Independent mark. But must mention (c)
| Scheme | Marks | AO |
|---|---|---|
| Mean > UQ | B1* | 1.1 |
| Median better | B1dep | 2.2b |
| [2] |
Notes
All parts of Q10: Allow “percentage” or “value” or “number” or “rate” etc for proportion in all parts of qu 10
or mean is in 4th quartile
Ignore all else
Not Mean skewed by F, N, R so median better
Not Median not skewed by F, N, R so better
Not Mean because need take account of outliers (or F,N,R)