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Below is a list of lengths (in millimeters) of 50 fish caught in Lake Mead: 53 3

ID: 3131311 • Letter: B

Question

Below is a list of lengths (in millimeters) of 50 fish caught in Lake Mead:

53

38

27

22

18

52

30

22

18

51

50

47

45

55

42

42

25

65

37

47

41

30

67

30

45

40

45

32

32

37

35

42

32

27

23

27

19

57

18

60

26

20

62

20

32

25

21

75

25

35

a) Compute the 5-number summary. List your answers from least to greatest.

b) Compute the 33rd percentile.

c) Compute the 66th percentile.

53

38

27

22

18

52

30

22

18

51

50

47

45

55

42

42

25

65

37

47

41

30

67

30

45

40

45

32

32

37

35

42

32

27

23

27

19

57

18

60

26

20

62

20

32

25

21

75

25

35

Explanation / Answer

5 number summery from least to greatest number is as follows

Calculation of percentile at 33rd and 66th:

b) Number of observations is n=50

33rd percentile=(33x50)/100=17th oservation.

From the given data 17th observation is 27.

33rd percentile=27.

c) Number of observations is n=50

66th percentile=(66x50)/100=33rd oservation.

From the given data 33rd observation is 42.

66th percentile=42.

25 19 22 18 18 26 20 27 18 23 27 21 32 20 32 35 25 32 22 35 40 30 45 25 37 41 30 57 27 42 42 38 62 30 45 50 42 65 32 47 52 45 67 37 51 53 47 75 55 60
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