Thecornrake is a European species of bird in danger of worldwideextinction. A ce
ID: 2953201 • Letter: T
Question
Thecornrake is a European species of bird in danger of worldwideextinction. A census of singing cornrakes on agricultural land inBritain and Ireland was recently conducted. The table gives thetotal number of cornrakes inhabiting each of 10 geographicalareas.
Area
Number of Cornrakes
1.
MainlandScotland
13
2.
Highlandregion of Scotland
11
3.
Orkney andShetland
28
4.
Lewis andHarris
27
5.
N. Uistand Benbecula
36
6.
S. Uistand Barra
111
7.
InnerHebrides
34
8.
Coll andTirce
58
9.
NorthernIreland
109
10.
Republicof Ireland
51
Find the sample median of cornrakesinhabiting at the geographical areas given above.
Area
Number of Cornrakes
1.
MainlandScotland
13
2.
Highlandregion of Scotland
11
3.
Orkney andShetland
28
4.
Lewis andHarris
27
5.
N. Uistand Benbecula
36
6.
S. Uistand Barra
111
7.
InnerHebrides
34
8.
Coll andTirce
58
9.
NorthernIreland
109
10.
Republicof Ireland
51
Explanation / Answer
Answer:
Data: 13, 11, 28, 27, 36, 111, 34, 58, 109, 51
Sorted Data: 11, 13, 27, 28, 34,36, 51, 58, 109, 111
Median (Q2) = 2 (n+1) / 4
Here n=10;
Median (Q2) = 2 (10+1) / 4
Median (Q2) = 2 (11) / 4
Median (Q2) = 22 / 4
Median (Q2) = 5.5th value
Median (Q2) = 5th value + 0.5 *(6th value – 5th value)
Median (Q2) = 34 + 0.5 * (36 – 34)
Median (Q2) = 34 + 0.5 * (2)
Median (Q2) = 34 + 1
Median (Q2) = 35
It is also called as second or middle quartile.
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