Question

2) The following is a sample of times (in minutes) between calls received at a technical support help line. 1.1, 1.6, 2.5, 2.6, 2.6, 2.6, 2.6, 2.9, 2.9, 3.1, 3.1, 3.4, 3.4, 3.5, 3.6, 3.7, 3.8, 3.8, 3.8, 3.8, 4.0, 4.1, 4.1, 4.3, 4.3, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.2, 5.2, 5.5, 5.7, 5.8, 5.9, 6.3, 6.4, 6.7, 6.7

a) Construct a dot plot.

b) Construct a relative frequency distribution. Use 7 classes. The limits of the first class are 1.1-1.9. Give your relative frequencies as percentages to two decimal places.

c) Construct a relative frequency histogram.

d) Construct a box plot.

Answer 1

2) The following is a sample of times (in minutes) between calls received at a technical support help line. 1.1, 1.6, 2.5, 2.6, 2.6, 2.6, 2.6, 2.9, 2.9, 3.1, 3.1, 3.4, 3.4, 3.5, 3.6, 3.7, 3.8, 3.8, 3.8, 3.8, 4.0, 4.1, 4.1, 4.3, 4.3, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.2, 5.2, 5.5, 5.7, 5.8, 5.9, 6.3, 6.4, 6.7, 6.7

a) Construct a dot plot.

b) Construct a relative frequency distribution. Use 7 classes. The limits of the first class are 1.1-1.9. Give your relative frequencies as percentages to two decimal places.

Frequency Distribution - Quantitative
		Time						cumulative
	lower		upper	midpoint	width	frequency	percent	frequency	percent
	1.10	<	1.90	1.50	0.80	2	4.5	2	4.5
	1.90	<	2.70	2.30	0.80	5	11.4	7	15.9
	2.70	<	3.50	3.10	0.80	6	13.6	13	29.5
	3.50	<	4.30	3.90	0.80	10	22.7	23	52.3
	4.30	<	5.10	4.70	0.80	11	25.0	34	77.3
	5.10	<	5.90	5.50	0.80	5	11.4	39	88.6
	5.90	<	6.70	6.30	0.80	3	6.8	42	95.5
	6.70	<	7.50	7.10	0.80	2	4.5	44	100.0
						44	100.0

c) Construct a relative frequency histogram.

d) Construct a box plot.

minimum	1.1
1st quartile	3.325
median	4.100
3rd quartile	4.925
maximum	6.7