7. Answer the following four parts as related to the given frequency chart at th

Question

7. Answer the following four parts as related to the given frequency chart at the right: (a) Which of these best describes the shape of the distribution of the data given in the table? Days traveling per year Frequency i)    Bell-shaped 0-6 15 ii)   Skewed right 7-13 21 iii) Skewed left 14-20 27 21-27 9 28-34 2 (b) Extend the frequency table given at the right to include a column on relative frequency— the column should include the values of relative frequency for each given income level interval. 35 and above 1 (c) Which of these best describes the shape of a histogram for relative frequency instead of frequency? i)    Bell-shaped ii)   Skewed right iii) Skewed left (d) What is the probability that a randomly selected person from this data list will travel at least 21 days? 7. Answer the following four parts as related to the given frequency chart at the right: (a) Which of these best describes the shape of the distribution of the data given in the table? Days traveling per year Frequency i)    Bell-shaped 0-6 15 ii)   Skewed right 7-13 21 iii) Skewed left 14-20 27 21-27 9 28-34 2 (b) Extend the frequency table given at the right to include a column on relative frequency— the column should include the values of relative frequency for each given income level interval. 35 and above 1 (c) Which of these best describes the shape of a histogram for relative frequency instead of frequency? i)    Bell-shaped ii)   Skewed right iii) Skewed left (d) What is the probability that a randomly selected person from this data list will travel at least 21 days?

Explanation / Answer

Q7( a) Option B is Correct. It is Skewed right. Because it has long tails on the right side

b)

c) Option B is Correct. It is Skewed right. Shape will not change

d) P( Travel at least 21 days ) = 12/75 = 0.16

Days Travelling Frequency Relative Frequency 0 to 6 15 0.2 7 to 13 21 0.28 14 to 20 27 0.36 21 to 27 9 0.12 28 to 34 2 0.026666667 35 and above 1 0.013333333

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