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olga_2 [115]
3 years ago
13

Listed below are the ACT scores of 40 randomly selected students at a major university. (Use technology if you wish, Excel) 18 1

6 26 19 22 25 26 19 13 14 25 14 15 19 25 24 24 21 19 20 24 23 17 21 20 25 18 23 19 18 15 22 1912 18 13 13 21 19 17 W = 26-12= 1.75=2 (a) Construct a frequency table for the data, using 8 classes. Show W. Using the table, answer the following questions: (b) If the university wants to accept the top 90% of the applicants, what should the minimum score be? (c) If the university sets the minimum ACT score at 20, what percent of the applicants will be accepted?

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

A) See the picture

B) 14

C) 45%

Step-by-step explanation:

A) To create a histogram like the one on the picture you can use an online tool like socscistatistics where the number of classes is customizable

B) Because the question B and C have to be responded using a frequency table with 8 classes the answer is 14; the method of using cumulative frequency tables should only be considered as a way of estimation, that is because you obtain values that depend on your choice of class intervals. The way to get a better answer would be to use all the scores in the distribution

Pc1 = 100*(4/40) = 10

Pc2 = 100*(4/40) = 10

Pc3 = 100*(3/40) = 7.5

Pc4 = 100*(11/40) = 27.5

Pc5 = 100*(5/40) = 12.5

Pc6 = 100*(4/40) = 10

Pc7 = 100*(7/40) = 17.5

Pc8 = 100*(2/40) = 5

Pc8 + Pc7 + Pc6 + Pc5 + Pc4 + Pc3 + Pc2 = 90%

Therefore, From class 8 to class 2 is the top 90% of the applicants and the minimum score is 14.

C) Scores equal to or greater than 20 are from class 8 to class 5

Pc8 + Pc7 + Pc6 + Pc5 = 45%

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