The Table below shows the average score of the150 students sampled from the University of the East Europe in the academic year 2020/2021. Score (out of 100) Number of students 40-49 19 50-59 32 60-69 49 70-79 29 80-89 21 Given that Class Frequency 40 - 49 19 50 - 59 32 60 - 69 49 70 - 79 29 80 - 89 21 Class (1) Frequency (f) (2) Mid value (x) (3) f⋅x (4)=(2)×(3) cf (6) 40-49 19 44.5 845.5 19 50-59 32 54.5 1744 51 60-69 49 64.5 3160.5 100 70-79 29 74.5 2160.5 129 80-89 21 84.5 1774.5 150 n=150 ∑f⋅x=9685 Use your results above to comment on the shape of the distribution. Give a reason for you answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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  1. The Table below shows the average score of the150 students sampled from the University of the East Europe in the academic year 2020/2021.

 

Score (out of 100)

Number of students

40-49

19

50-59

32

60-69

49

70-79

29

80-89

21

 

 

 

Given that

 

Class

Frequency

40 - 49

19

50 - 59

32

60 - 69

49

70 - 79

29

80 - 89

21

 

Class
(1)

Frequency (f)
(2)

Mid value (x)
(3)

fx
(4)=(2)×(3)

cf
(6)

40-49

19

44.5

845.5

19

50-59

32

54.5

1744

51

60-69

49

64.5

3160.5

100

70-79

29

74.5

2160.5

129

80-89

21

84.5

1774.5

150

 

n=150

 

fx=9685



  1. Use your results above to comment on the shape of the distribution. Give a reason for you answer.                                                                                                                  

 

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