The frequency distribution below shows the distribution for SAT scores for a ran
ID: 3216652 • Letter: T
Question
The frequency distribution below shows the distribution for SAT scores for a random sample of 1000 students.
SAT Scores
Frequency
Relative Frequency
(400-700)
165
(700-1000)
450
(1000-1300)
0.2
(1300-1600)
185
Total
1000
a)Complete the frequency table with frequency and relative frequency. Express the relative frequency to three decimal places
b)What percentage of students in this sample has SAT score at least 1300?
(Please show your work so I can understand it, thank you)
SAT Scores
Frequency
Relative Frequency
(400-700)
165
(700-1000)
450
(1000-1300)
0.2
(1300-1600)
185
Total
1000
Explanation / Answer
SAT Scores
Frequency
Relative Frequency
(400-700)
165
165/1000 = 0.165
(700-1000)
450
450/1000 = 0.450
(1000-1300)
(1000-(165+450+185)) = 200
0.200
(1300-1600)
185
185/1000 = 0.185
Total
1000
1.000
relative frequency = frequency / Total frequency
b) atleast 1300 is the group 1300-1600
P(1300-1600) = 185/1000 = 0.185 = 18.5%
SAT Scores
Frequency
Relative Frequency
(400-700)
165
165/1000 = 0.165
(700-1000)
450
450/1000 = 0.450
(1000-1300)
(1000-(165+450+185)) = 200
0.200
(1300-1600)
185
185/1000 = 0.185
Total
1000
1.000
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