Consider the following data set: 12 7 7 7 12 12 8 4 12 14 8 14 7 3 12 6 6 5 8 10

Question

Consider the following data set: 12 7 7 7 12 12 8 4 12 14 8 14 7 3 12 6 6 5 8 10 5 14 12 10 14 4 10 7 9 13

a. Construct a frequency distribution using classes of 3 up to 5, 5 up to 7, etc.

Class Frequency 3 up to 5 5 up to 7 7 up to 9 9 up to 11 11 up to 13 13 up to 15 Total b. Construct relative frequency, cumulative frequency, and cumulative relative frequency distributions. (Round "relative frequency" and "cumulative relative frequency" to 2 decimal places.) Class Relative Frequency Cumulative Frequency Cumulative Relative Frequency 3 up to 5 5 up to 7 7 up to 9 9 up to 11 11 up to 13 13 up to 15 Total c-1. How many of the observations are at least 7 but less than 9? Number of observations c-2. How many of the observations are less than 9? Number of observations d-1. What percent of the observations are at least 7 but less than 9? (Round your answer to the nearest whole percent.) Percent of observations d-2. What percent of the observations are less than 9? (Round your answer to the nearest whole percent.) Percent of observations

Explanation / Answer

Ans:

Number of observations atleast 7 but less than 9=8

Number of observations less than 9=15

percentage of observations atleast 7 but less than 9=0.27

Percentage of observations less than 9=0.5

Class frequency Cummuative relative frequency Relative frequency or probability Cummulative probability 3-5 3 3 0.10 0.10 5-7 4 7 0.13 0.23 7-9 8 15 0.27 0.50 9-11 4 19 0.13 0.63 11-13 6 25 0.20 0.83 13-15 5 30 0.17 1.00 Total 30 1.00

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