Frequency Distributions and Quantitative Data A basketball player usually makes
ID: 3151680 • Letter: F
Question
Frequency Distributions and Quantitative Data
A basketball player usually makes 70%of her free throws. We ask a basketball player that we are interested on knowing the number of free throws the basketball player makes until she misses. The experment is repeated 50 times.
Number of free throws until a miss Frequency
1 16
2 11
3 9
4 7
5 2
6 3
7 0
8 1
9 0
10 1
a) construct a relative distribution of the data.
b) What percentage of the time did she first miss on her fourth free throw?
c)What percentage of the time did she make nine in a row and then missed the tenth free throw?
d) What percentage of the time did she make at least five in a row?
Explanation / Answer
(a)
Following table shows the relative freqeuncy:
(b)
14% of the time did she first miss on her fourth free throw.
(c)
2% of the time did she make nine in a row and then missed the tenth free throw.
(d)
0.04+0.06+0.02+0.02=0.14
That is 14% of the time did she make at least five in a row.
Number of free throws until a miss Frequency (f) Relative frequency=f/50 1 16 0.32 2 11 0.22 3 9 0.18 4 7 0.14 5 2 0.04 6 3 0.06 7 0 0 8 1 0.02 9 0 0 10 1 0.02 Total 50 1Related Questions
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