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1 1945-46 1946 109 83.00 84.50 50.00 69.00 55.5 451.0 2 1946-47 1947 69 63.00 61

ID: 3048921 • Letter: 1

Question

1

1945-46

1946

109

83.00

84.50

50.00

69.00

55.5

451.0

2

1946-47

1947

69

63.00

61.00

53.00

68.00

60.0

374.0

3

1947-48

1948

118

80.00

46.00

66.00

165.00

74.0

549.0

4

1948-49

1949

71

160.00

132.00

58.00

97.00

5.0

523.0

5

1949-50

1950

39

137.00

133.00

34.00

109.00

25.0

477.0

6

1950-51

1951

60

66.00

112.00

58.00

53.00

0.0

349.0

7

1951-52

1952

67

156.00

115.00

105.00

163.00

35.0

641.0

8

1952-53

1953

44

65.00

112.00

40.00

93.00

57.0

411.0

9

1953-54

1954

50

107.00

54.00

57.00

101.00

14.0

383.0

10

1954-55

1955

37

53.00

134.00

129.00

60.00

59.0

472.0

11

1955-56

1956

86

112.00

103.00

72.00

33.00

54.0

460.0

12

1956-57

1957

36

50.00

86.00

41.00

97.00

76.0

386.0

13

1957-58

1958

74

79.50

83.50

131.50

80.00

111.0

559.5

14

1958-59

1959

38

47.50

81.00

107.00

84.50

28.0

386.0

15

1959-60

1960

22

39.50

59.00

155.00

92.00

28.0

395.5

16

1960-61

1961

75

40.00

1.00

62.00

113.00

35.0

326.0

17

1961-62

1962

46

82.50

86.00

110.00

35.00

42.0

401.5

18

1962-63

1963

31

17.00

85.00

39.00

93.00

136.0

401.0

19

1963-64

1964

55

53.00

108.00

68.00

183.00

99.0

566.0

20

1964-65

1965

95

141.00

150.00

66.00

44.00

77.0

573.0

21

1965-66

1966

69

69.00

73.00

103.00

70.00

49.0

433.0

22

1966-67

1967

53

84.00

168.00

72.00

61.00

106.0

544.0

23

1967-68

1968

22

131.00

39.00

84.00

70.00

133.5

479.5

24

1968-69

1969

87.5

132.60

113.00

148.00

35.00

50.0

566.1

25

1969-70

1970

56

70.00

103.50

60.50

79.00

90.0

459.0

26

1970-71

1971

79

142.00

58.00

73.50

87.00

42.0

481.5

27

1971-72

1972

64.5

159.00

94.50

45.00

47.00

56.6

466.6

28

1972-73

1973

----

122.00

64.50

77.00

124.00

109.0

496.5

29

1973-74

1974

90.9

128.20

104.50

91.00

45.00

136.0

595.6

30

1974-75

1975

25.5

146.50

104.00

88.00

151.00

90.0

605.0

31

1975-76

1976

94

67.00

74.50

69.00

93.00

42.0

439.5

32

1976-77

1977

13.5

17.00

50.50

73.50

129.00

31.0

314.5

33

1977-78

1978

53

106.50

99.50

92.50

85.00

88.0

524.5

34

1978-79

1979

62.5

96.00

78.50

86.00

71.00

94.0

488.0

35

1979-80

1980

79.5

27.00

143.00

112.50

123.00

29.0

514.0

36

1980-81

1981

40

34.00

73.00

82.00

110.00

52.0

391.0

37

1981-82

1982

47

184.00

143.00

85.00

164.00

73.0

696.0

38

1982-83

1983

66

165.00

75.50

68.00

150.00

112.5

637.0

39

1983-84

1984

143.5

244.50

42.00

104.00

85.00

124.5

743.5

40

1984-85

1985

112.5

105.00

44.00

61.50

99.50

34.5

457.0

41

1985-86

1986

132

62.00

56.00

112.70

100.00

135.7

599.0

42

1986-87

1987

73

12.30

96.00

73.00

104.00

23.5

381.8

43

1987-88

1988

30

91.00

105.10

39.75

115.50

29.0

410.3

44

1988-89

1989

172.5

124.50

70.75

97.50

64.75

52.0

581.5

45

1989-90

1990

76

49.00

107.50

100.50

84.00

31.0

448.0

46

1990-91

1991

109.5

91.00

82.80

49.70

110.90

136.3

580.2

47

1991-92

1992

133.4

57.20

41.80

85.00

50.10

27.5

395.0

48

1992-93

1993

118.8

119.20

165.30

102.90

63.00

81.2

650.4

49

1993-94

1994

40.7

64.85

122.70

134.05

47.20

80.8

490.3

50

1994-95

1995

205.9

73.80

199.70

56.30

128.90

80.7

745.4

51

1995-96

1996

57

53.00

187.00

104.00

82.00

79.0

562.0

52

1996-97

1997

78.3

164.80

141.50

91.00

53.80

69.7

599.1

53

1997-98

1998

46.3

81.80

128.90

156.60

92.30

69.0

574.9

54

1998-99

1999

76.5

43.10

105.30

98.00

46.50

89.0

458.4

55

1999-00

2000

30

97.00

100.00

119.50

84.00

15.5

446.0

56

2000-01

2001

88

71.00

66.20

79.50

53.00

112.0

469.7

57

2001-02

2002

137

86.10

100.90

53.40

142.20

48.1

567.7

58

2002-03

2003

42

78.70

26.00

84.10

93.80

74.8

399.4

59

2003-04

2004

110

151.00

74.30

130.00

62.00

43.5

570.8

60

2004-05

2005

62.7

86.40

113.50

77.90

153.60

59.5

553.6

61

2005-06

2006

81

132.00

148.00

61.50

135.00

76.0

633.5

62

2006-07

2007

63

51.50

38.50

107.00

63.50

32.5

356.0

63

2007-08

2008

18

161.00

186.00

132.00

85.00

72.0

654.0

64

2008-09

2009

56

107.00

113.00

75.00

114.00

113.0

578.0

65

2009-10

2010

22

71.50

88.50

61.00

60.00

127.0

430.0

66

2010-11

2011

82.5

114.00

42.00

97.50

100.00

117.0

553.0

67

2011-12

2012

52

20.00

64.50

63.00

82.00

48.0

329.5

68

2012-13

2013

61

101.00

57.00

56.00

45.00

62.5

382.5

69

2013-14

2014

31.5

55.00

64.00

85.50

70.00

51.5

357.5

70

2014-15

2015

59.5

73.50

28.50

35.00

24.00

47.0

267.5

71

2015-16

2016

46

105.00

97.00

34.00

69.00

42.0

393.0

72

2016-17

2017

65.7

79.00

154.00

113.80

45.00

73.0

530.5

Calculate the Z-score for the maximum and the minamum seasonal snowfall from 1946 to 2017? (Show your work.)

season year ending nov dec jan feb mar apr total

1

1945-46

1946

109

83.00

84.50

50.00

69.00

55.5

451.0

2

1946-47

1947

69

63.00

61.00

53.00

68.00

60.0

374.0

3

1947-48

1948

118

80.00

46.00

66.00

165.00

74.0

549.0

4

1948-49

1949

71

160.00

132.00

58.00

97.00

5.0

523.0

5

1949-50

1950

39

137.00

133.00

34.00

109.00

25.0

477.0

6

1950-51

1951

60

66.00

112.00

58.00

53.00

0.0

349.0

7

1951-52

1952

67

156.00

115.00

105.00

163.00

35.0

641.0

8

1952-53

1953

44

65.00

112.00

40.00

93.00

57.0

411.0

9

1953-54

1954

50

107.00

54.00

57.00

101.00

14.0

383.0

10

1954-55

1955

37

53.00

134.00

129.00

60.00

59.0

472.0

11

1955-56

1956

86

112.00

103.00

72.00

33.00

54.0

460.0

12

1956-57

1957

36

50.00

86.00

41.00

97.00

76.0

386.0

13

1957-58

1958

74

79.50

83.50

131.50

80.00

111.0

559.5

14

1958-59

1959

38

47.50

81.00

107.00

84.50

28.0

386.0

15

1959-60

1960

22

39.50

59.00

155.00

92.00

28.0

395.5

16

1960-61

1961

75

40.00

1.00

62.00

113.00

35.0

326.0

17

1961-62

1962

46

82.50

86.00

110.00

35.00

42.0

401.5

18

1962-63

1963

31

17.00

85.00

39.00

93.00

136.0

401.0

19

1963-64

1964

55

53.00

108.00

68.00

183.00

99.0

566.0

20

1964-65

1965

95

141.00

150.00

66.00

44.00

77.0

573.0

21

1965-66

1966

69

69.00

73.00

103.00

70.00

49.0

433.0

22

1966-67

1967

53

84.00

168.00

72.00

61.00

106.0

544.0

23

1967-68

1968

22

131.00

39.00

84.00

70.00

133.5

479.5

24

1968-69

1969

87.5

132.60

113.00

148.00

35.00

50.0

566.1

25

1969-70

1970

56

70.00

103.50

60.50

79.00

90.0

459.0

26

1970-71

1971

79

142.00

58.00

73.50

87.00

42.0

481.5

27

1971-72

1972

64.5

159.00

94.50

45.00

47.00

56.6

466.6

28

1972-73

1973

----

122.00

64.50

77.00

124.00

109.0

496.5

29

1973-74

1974

90.9

128.20

104.50

91.00

45.00

136.0

595.6

30

1974-75

1975

25.5

146.50

104.00

88.00

151.00

90.0

605.0

31

1975-76

1976

94

67.00

74.50

69.00

93.00

42.0

439.5

32

1976-77

1977

13.5

17.00

50.50

73.50

129.00

31.0

314.5

33

1977-78

1978

53

106.50

99.50

92.50

85.00

88.0

524.5

34

1978-79

1979

62.5

96.00

78.50

86.00

71.00

94.0

488.0

35

1979-80

1980

79.5

27.00

143.00

112.50

123.00

29.0

514.0

36

1980-81

1981

40

34.00

73.00

82.00

110.00

52.0

391.0

37

1981-82

1982

47

184.00

143.00

85.00

164.00

73.0

696.0

38

1982-83

1983

66

165.00

75.50

68.00

150.00

112.5

637.0

39

1983-84

1984

143.5

244.50

42.00

104.00

85.00

124.5

743.5

40

1984-85

1985

112.5

105.00

44.00

61.50

99.50

34.5

457.0

41

1985-86

1986

132

62.00

56.00

112.70

100.00

135.7

599.0

42

1986-87

1987

73

12.30

96.00

73.00

104.00

23.5

381.8

43

1987-88

1988

30

91.00

105.10

39.75

115.50

29.0

410.3

44

1988-89

1989

172.5

124.50

70.75

97.50

64.75

52.0

581.5

45

1989-90

1990

76

49.00

107.50

100.50

84.00

31.0

448.0

46

1990-91

1991

109.5

91.00

82.80

49.70

110.90

136.3

580.2

47

1991-92

1992

133.4

57.20

41.80

85.00

50.10

27.5

395.0

48

1992-93

1993

118.8

119.20

165.30

102.90

63.00

81.2

650.4

49

1993-94

1994

40.7

64.85

122.70

134.05

47.20

80.8

490.3

50

1994-95

1995

205.9

73.80

199.70

56.30

128.90

80.7

745.4

51

1995-96

1996

57

53.00

187.00

104.00

82.00

79.0

562.0

52

1996-97

1997

78.3

164.80

141.50

91.00

53.80

69.7

599.1

53

1997-98

1998

46.3

81.80

128.90

156.60

92.30

69.0

574.9

54

1998-99

1999

76.5

43.10

105.30

98.00

46.50

89.0

458.4

55

1999-00

2000

30

97.00

100.00

119.50

84.00

15.5

446.0

56

2000-01

2001

88

71.00

66.20

79.50

53.00

112.0

469.7

57

2001-02

2002

137

86.10

100.90

53.40

142.20

48.1

567.7

58

2002-03

2003

42

78.70

26.00

84.10

93.80

74.8

399.4

59

2003-04

2004

110

151.00

74.30

130.00

62.00

43.5

570.8

60

2004-05

2005

62.7

86.40

113.50

77.90

153.60

59.5

553.6

61

2005-06

2006

81

132.00

148.00

61.50

135.00

76.0

633.5

62

2006-07

2007

63

51.50

38.50

107.00

63.50

32.5

356.0

63

2007-08

2008

18

161.00

186.00

132.00

85.00

72.0

654.0

64

2008-09

2009

56

107.00

113.00

75.00

114.00

113.0

578.0

65

2009-10

2010

22

71.50

88.50

61.00

60.00

127.0

430.0

66

2010-11

2011

82.5

114.00

42.00

97.50

100.00

117.0

553.0

67

2011-12

2012

52

20.00

64.50

63.00

82.00

48.0

329.5

68

2012-13

2013

61

101.00

57.00

56.00

45.00

62.5

382.5

69

2013-14

2014

31.5

55.00

64.00

85.50

70.00

51.5

357.5

70

2014-15

2015

59.5

73.50

28.50

35.00

24.00

47.0

267.5

71

2015-16

2016

46

105.00

97.00

34.00

69.00

42.0

393.0

72

2016-17

2017

65.7

79.00

154.00

113.80

45.00

73.0

530.5

Explanation / Answer

Here mean snowfall = 491.78 mm

Standard deviation of snowfall = 104.89 mm

Minimum snowfall = 267.5 mm

Z = (267.5 - 491.78)/104.89 = -2.14

Maximum snowfall = 745.4

Z = (745.4 - 491.78)/104.89 = 2.418