Complete question :
A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).
1235
952
457
1486
1759
1148
548
1037
1864
1245
976
866
1431
Estimate the median time it will take all players to finish this game.
Find the interquartile range for this sample.
Answer:
1148 ; 549.5
Explanation:
The ordered data:
457, 548, 866, 952, 976, 1037, 1148, 1235, 1245, 1431, 1486, 1759, 1864
The median value :
1/2 * (n +1)th term
n = 13
1/2 * 14 = 7th term
Median = 1148
The interquartile range :
Q3 - Q1
Q3 = 3/4(n+1)th term
Q3 = 3/4 * 14th term
Q3 = 10.5 th term
Q3 = (10 + 11)th term
Q3 = (1431 +1486) / 2= 1458.5
Q1 = 1/4(n+1)th term
Q1 = 1/4 * 14th term
Q1 = 3.5 th term
Q1 = (3 + 4)th term
Q1 = (866+ 952) / 2= 909
IQR = 1458.5 - 909 = 549.5