(a) Represent this information on a Venn diagram. 9 (b) Find the number of students who (i) like dogs only; 0 (ii) like both dogs and cats but not hamsters; O (iii) do not like pets. 2 A student is randomly chosen from this group of 100 students. (c) Calculate the probability that this student likes only two kinds of pets. O

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100 students are asked what pets they like from a choice of cats, dogs and hamsters. The
results are as follows.
60 like cats
64 like dogs
61 like hamsters
34 like cats and dogs
46 like dogs and hamsters
43 like cats and hamsters
32 like cats, dogs and hamsters
(a) Represent this information on a Venn diagram. 29
(b) Find the number of students who
(i) like dogs only; €0
(ii) like both dogs and cats but not hamsters; 61
(iii) do not like pets. 2
A student is randomly chosen from this group of 100 students.
(c) Calculate the probability that this student likes only two kinds of pets. 9
(d) Calculate the probability that this student likes only dogs, given that this student only
likes one kind of pet.
34
Transcribed Image Text:100 students are asked what pets they like from a choice of cats, dogs and hamsters. The results are as follows. 60 like cats 64 like dogs 61 like hamsters 34 like cats and dogs 46 like dogs and hamsters 43 like cats and hamsters 32 like cats, dogs and hamsters (a) Represent this information on a Venn diagram. 29 (b) Find the number of students who (i) like dogs only; €0 (ii) like both dogs and cats but not hamsters; 61 (iii) do not like pets. 2 A student is randomly chosen from this group of 100 students. (c) Calculate the probability that this student likes only two kinds of pets. 9 (d) Calculate the probability that this student likes only dogs, given that this student only likes one kind of pet. 34
The cumulative frequency curve below represents the results of 80 daily temperature
measurements in Melbourne, Australia, during 2020.
zoom in
80
75
70
65
60
55
50
45
40
35
30
25
20
15
10
14 15 16 17 18 19 20 21 22 23 24 25
Temperature, C
(a) Use the graph to find the below values, rounded to the nearest whole degree.
(i) the median temperature; 5
(ii) the upper quartile temperature 6
(iii) the interquartile range. 7
8
(b) Draw a box-and-whisker diagram to represent this sample of daily temperature readings.
An 81st datapoint was recorded, measuring a temperature of 28 degrees celsius.
(c) Determine if this 81st datapoint would be classified as an outlier.
9
10
Cumulative frequency
Transcribed Image Text:The cumulative frequency curve below represents the results of 80 daily temperature measurements in Melbourne, Australia, during 2020. zoom in 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 14 15 16 17 18 19 20 21 22 23 24 25 Temperature, C (a) Use the graph to find the below values, rounded to the nearest whole degree. (i) the median temperature; 5 (ii) the upper quartile temperature 6 (iii) the interquartile range. 7 8 (b) Draw a box-and-whisker diagram to represent this sample of daily temperature readings. An 81st datapoint was recorded, measuring a temperature of 28 degrees celsius. (c) Determine if this 81st datapoint would be classified as an outlier. 9 10 Cumulative frequency
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