Question

Here is a set of sample data

7 11 16 30 36
47 54 56 62 66
70 74 75 77 81
83 90 91 92

Identify the 5 number summary (min, Q1, median, Q3, max)

Answer 1

Minimum value = 7

Q1 = 1/2 (n+1)th term

1/2 (9+1)

1/2 (10)

Q1 = 5th term

Therefore Q1 = 36

Median = 1/2 (n+1)th term

1/2 (19+1)

1/2 (20)

Q2= 10th term

Therefore median (Q2) = 66

Q3 = 1/2 (n+1)th term

1/2 (9+1)

1/2 (10)

Q3 = 5th term

Therefore Q3 = 81

Maximum value = 92