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).

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.

1148 ; 549.5

Step-by-step 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

1. 34

2. 268

3. x=14.4

step-by-step explanation: