Q1. The midterm exam for a statistics course has a time limit of 1 hour. However, like moststatisticsexams,thisonewasquiteeasy.Toassess howeasy,theprofessorrecorded the amount of time taken by a sample of nine students to hand in their papers. The times (rounded to the nearest minute) are:

33, 2945604219523836

1. Pleasecompute themean,median and mode.

2. Pleasebriefly explainwhatyouhavelearned fromthethreestatistics calculated in the above question - was the midterm exam easy? (max 50 words).

Q2. Refer to Dataset A below.

Who uses the internet? To help answer this question, a random sample of 300 adults was asked to report their age and the number of hours of internet use weekly.

Age	Internet (Hours)
56	20
58	20
66	18
51	21
70	14
50	27
49	22
35	38
49	26
22	37
41	33
57	16
43	25
42	30
43	29
54	23
81	13
64	17
50	22
62	24
60	18
43	32
51	21
56	20
63	25
53	26
72	16
52	24
64	17
53	26
64	18
59	21
74	13
49	24
57	19
52	22
60	21
55	27
59	29
54	24
66	19
70	5
57	24
56	22
60	16
35	24
56	24
37	34
54	24
59	15
50	15
53	21
57	22
41	28
48	25
68	18
51	15
46	23
41	29
66	20
36	25
33	35
63	15
40	27
57	19
52	21
63	16
66	19
59	13
46	27
61	17
46	27
54	19
35	33
53	23
65	18
63	19
46	23
70	20
51	22
73	15
44	27
67	12
54	23
59	21
54	23
63	16
52	21
60	24
72	15
53	27
47	24
66	14
62	18
67	14
43	32
40	35
42	29
46	31
63	24
54	23
54	18
56	22
54	23
48	29
55	24
59	23
51	23
61	20
42	22
44	39
55	22
50	33
42	25
61	20
37	37
60	26
66	22
55	23
52	22
42	32
52	30
41	27
53	22
49	27
63	16
74	17
61	18
58	21
51	28
58	14
48	26
54	24
67	12
52	18
49	25
51	21
51	22
46	22
48	32
53	24
50	32
69	21
52	27
48	29
64	18
63	20
51	19
52	24
56	33
41	23
51	23
58	19
63	27
45	25
40	32
63	25
34	28
56	20
42	26
55	25
44	22
59	23
40	24
47	28
62	16
49	25
52	24
47	34
68	16
57	24
63	25
27	27
52	19
27	28
68	13
60	13
51	27
58	24
55	23
36	29
50	22
57	22
46	30
46	25
62	16
45	33
50	22
55	21
63	22
61	20
45	25
62	17
40	30
55	26
48	25
40	26
54	34
56	31
63	16
43	26
73	12
43	27
51	25
41	20
65	19
62	19
74	22
62	20
40	31
64	24
60	23
61	18
41	22
46	27
48	27
42	32
65	25
38	32
64	21
32	35
62	16
50	22
56	25
70	16
50	22
59	25
65	15
46	33
42	33
69	17
50	26
65	14
31	27
51	21
53	18
44	24
47	23
39	34
62	15
71	15
39	32
62	19
61	20
55	21
53	20
44	24
43	31
64	18
51	22
55	23
47	26
62	16
50	22
56	21
56	21
55	17
55	21
45	25
63	18
38	28
60	25
41	29
45	17
51	26
44	32
59	17
51	18
48	27
65	18
59	21
54	24
73	14
59	19
57	25
39	33
49	26
50	30
36	31
44	34
37	32
64	15
68	14
55	23
48	21
63	17
57	27
46	29
43	25
48	30
44	30
50	24
51	25
42	32
52	20
58	23
38	31
41	33
60	21
51	23

(a) Draw a suitable graph (using Excel) to depict the data.

(b) Does it appear that there is a linear relationship between the two variables? If so, describe it.

Q3. A call centre takes calls. Some days many calls are taken (up to 6) while other days none are taken. You are provided with data (refer to dataset B below) showing the number of calls and frequency over many days. Calculate the expected number of calls per day. Show all working.

Number of calls	Number of days
0	78
1	112
2	145
3	122
4	86
5	53
6	22