Monday, 22 November 2021

Quibans 103: Over-subscribed

This Quibans is built around a news article from the Cambridge News headlined: “The top 10 hardest primary schools to enrol your children into in Cambridgeshire”.

Unusually, this Quibans starts with a discussion.  The article will appear later.

    School A has 30 places and 44 applications. 

    School B has 25 places and 38 applications. 

    Which school is harder to get a place at?

.

.

.

.

.

.

.

.

.

.

School A: 14 pupils were declined.

School B: 13 pupils were declined.

So School A is harder to get a place at.

But:

31.8% of applicants to School A were disappointed.

34.2% of applicants to School B were disappointed.

So School B is harder to get a place at.

 

We could also work out that for each place at School A there were 1.47 applications and for each place at School B there were 1.52 applications.  This means that School B had to disappoint a larger proportion of their applicants.

Which is the most appropriate version to use?

Here is the data from the article, with the schools listed in alphabetical order.  Rank them according to each method.

 

Applications

Places

Fourfields Community Primary School

93

60

Godmanchester Bridge Academy

38

25

Middlefield Primary Academy

44

30

Park Lane Primary and Nursery School

75

60

Peckover Primary School

76

60

Ridgefield Primary School

50

30

Spinney Primary School

74

30

St Alban’s Primary School

58

30

Trumpington Park Primary

80

60

University of Cambridge Primary School

151

90

Which school is the hardest to get into?

 

Here is the article:

The top 10 hardest primary schools to enrol your children into in Cambridgeshire

The high number of applications these schools received to the places that were available, made them harder to gain a place.

20 NOV 2021

University of Cambridge Primary School, in Cambridge, had the highest number of first preference applications to the number of spaces it had available for children due to start in September 2021.

Top of Form

The hardest primary schools to gain a place in Cambridgeshire have been revealed.

Primary school preference data from Cambridgeshire County Council shows which schools were the most popular with parents and had more first place applications than spaces available.

In Cambridgeshire, the University of Cambridge Primary School is the hardest school to enrol a child at.

It received 151 first place preferences for children to start in September 2021, while the school only had an intake of 90 spaces available.

Top 10 primary schools that were the hardest to get children into in Cambridgeshire

1.    University of Cambridge Primary School, Cambridge
Rated outstanding by Ofsted, the school received 151 first preference applications, while it had 90 spaces available.

2.    Spinney Primary School, Cherry Hinton, Cambridge
Also rated outstanding by Ofsted, the school received 74 first preference applications, while it only had 30 places available.

3.    Fourfields Community Primary School, Yaxley
Rated good by Ofsted, the primary school received 93 first preference applications, while it had 60 places available.

4.    St Alban’s Primary School, Cambridge
Rated outstanding by Ofsted, this primary school received 58 first preference applications from parents, and had only 30 spaces available.

5.    Ridgefield Primary School, Cambridge
Rated good by Ofsted, it received 50 first preference applications, and had 30 places available.

6.    Trumpington Park Primary, Trumpington, Cambridge
This primary received 80 first preference applications, and could offer 60 places.

7.    Peckover Primary School, Wisbech
Rated good by Ofsted, this primary school received 76 first preference applications and had 60 spaces available.

8.    Park Lane Primary and Nursery School, Whittlesey
Rated good by Ofsted, the school received 75 first preference applications, and had 60 places available.

9.    Middlefield Primary Academy, St Neots
Rated outstanding by Ofsted, the primary school had 44 first preference applications, and had 30 spaces available.

10. Godmanchester Bridge Academy, Godmanchester
Rated good by Ofsted, this school received 38 first preference applications and had 25 places available.

 

Here is my table:

 

Applications

Places

number declined

rank based on number

%age declined

%age accepted

Applicants per place

rank based on %age

University of Cambridge Primary School

151

90

61

1

40.4%

59.6%

1.68

3

Spinney Primary School

74

30

44

2

59.5%

40.5%

2.47

1

Fourfields Community Primary School

93

60

33

3

35.5%

64.5%

1.55

5

St Alban’s Primary School

58

30

28

4

48.3%

51.7%

1.93

2

Ridgefield Primary School

50

30

20

5

40.0%

60.0%

1.67

4

Trumpington Park Primary

80

60

20

6

25.0%

75.0%

1.33

8

Peckover Primary School

76

60

16

7

21.1%

78.9%

1.27

9

Park Lane Primary and Nursery School

75

60

15

8

20.0%

80.0%

1.25

10

Middlefield Primary Academy

44

30

14

9

31.8%

68.2%

1.47

7

Godmanchester Bridge Academy

38

25

13

10

34.2%

65.8%

1.52

6

 

My favourite column is “applicants per place”.  What will happen if you find the reciprocal of the numbers in that column?  (1 divided by each of the numbers)

If you decided to use the percentage ranking version, why might Park Lane not actually be number 10 in the county? 

.

.

.

(Because other schools that don’t appear in the article might, using the percentage version, be in the top 10.)

 

Source: https://www.cambridge-news.co.uk/news/top-10-hardest-primary-schools-22203950

 

Quibans 103: Over-subscribed

This Quibans is built around a news article from the Cambridge News headlined: “ The top 10 hardest primary schools to enrol your children i...