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For a particular class, each student gave the number of jobs they currently have. The data is listed below: 1,2,0,0,1,3,1,2,1,2,1,0,3,1,2,3,1,0,1,2,0,2

a. Create a relative frequency table for this data set. It should have a column for the frequency and relative frequency(or percent) of each number of jobs. ****don’t exactly need this answered****

b. Give the mean of the data set.

c. Give the median of the data set.

d. Give the mode of the data set.

e. Give the range of the data set.

User Mireille
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Answer: a. To create a relative frequency table, first find the frequency of each number of jobs by counting how many times each number appears in the data set. Then, divide each frequency by the total number of students in the class to find the relative frequency (or percent) of each number of jobs. The table would look something like this:

Number of jobs Frequency Relative frequency (percent)

0 4 20%

1 7 35%

2 7 35%

3 3 15%

b. To find the mean of a data set, add up all the values and divide by the number of values. In this case, the mean would be calculated like this: (1+2+0+0+1+3+1+2+1+2+1+0+3+1+2+3+1+0+1+2+0+2) / 22 = 1.3636363636363635

c. To find the median of a data set, first put the values in order from least to greatest. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values. In this case, the values in order are: 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3. Since there are 22 values, the median is the average of the 11th and 12th values, which is (1+1) / 2 = 1

d. To find the mode of a data set, look for the value that appears most often. In this case, the mode is 1, because it appears 7 times, more than any other value.

e. To find the range of a data set, subtract the smallest value from the largest value. In this case, the range would be 3 - 0 = 3.

User Kapil Choubisa
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