Sampling distribution of median

Questions where the statistic is the median of the sample (requires ordering sample values and finding middle value).

2 questions · Standard +0.6

5.01a Permutations and combinations: evaluate probabilities
Sort by: Default | Easiest first | Hardest first
Edexcel S2 2013 June Q1
11 marks Standard +0.3
A bag contains a large number of \(1 \mathrm { p } , 2 \mathrm { p }\) and 5 p coins. \(50 \%\) are 1 p coins \(20 \%\) are \(2 p\) coins
30\% are 5p coins
A random sample of 3 coins is chosen from the bag.
  1. List all the possible samples of size 3 with median 5p.
  2. Find the probability that the median value of the sample is 5 p .
  3. Find the sampling distribution of the median of samples of size 3
Edexcel S2 2015 June Q7
7 marks Standard +0.8
A bag contains a large number of 10p, 20p and 50p coins in the ratio 1 : 2 : 2 A random sample of 3 coins is taken from the bag. Find the sampling distribution of the median of these samples. [7]