Question

the following data represents the gpa of a sample of 15 students enrolled in a math class. use technology and round to 4 decimal places.

gpa
3.89
1.81
3.15
3.32
2.17
3.18
2.13
3.27
2.6
3.55
1.64
2.27
3.7
2.29
3.79

(a) find the first quartile. 2.17
(b) find the third quartile. 3.55
(c) find the mean. 2.8507
(d) find the median. 3.15
(e) find the range. 2.29 enter an integer or decimal number more..
(f) find s.

Explanation:

Step1: Sort data ascendingly

1.64, 1.81, 2.13, 2.17, 2.27, 2.29, 2.6, 3.15, 3.18, 3.27, 3.32, 3.55, 3.7, 3.79, 3.89

Step2: Calculate Q1 (4th term)

2.17

Step3: Calculate Q3 (12th term)

3.55

Step4: Calculate mean (sum/15)

42.76/15≈2.8507

Step5: Calculate median (8th term)

3.15

Step6: Calculate range (max-min)

3.89-1.64=2.25

Step7: Calculate sample std dev (s)

sqrt(Σ(xi-2.8507)²/14)≈0.7565

Answer:

(a) 2.17
(b) 3.55
(c) 2.8507
(d) 3.15
(e) 2.25
(f) 0.7565