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Data Set Student | Gender | Age | Years of Work Experience | Time Spent on the Homework | Jenny | F | 35 | 11 | 2.5 | Sandy | F | 52 | 6 | 4 | Linda | F | 47 | 25 | 3 | Lilly | F | 25 | 7 | 2 | Nichole | F | 43 | 5 | 4.5 | Sally | F | 60 | 30 | 3.5 | Lisa | F | 38 | 2 | 4 | Brook | F | 22 | 4 | 1.5 | John | M | 23 | 5 | 2 | Dave | M | 32 | 14 | 2.5 | Shawn | M | 54 | 31 | 5 | Kurt | M | 29 | 7 | 3 | Brandon | M | 36 | 18 | 4.5 | Brian | M | 42 | 26 | 3.5 | | | | | |

Display gender information in a chart and plot age data in a box plot.

Calculate the appropriate measure of central tendency and variablility for the age and gender. What conclusion can you draw from the data? Descriptive statistics | | | | | | | Age | | count | 14 | | mean | 38.43 | | sample standard deviation | 11.88 | | sample variance | 141.19 | | minimum | 22 | | maximum | 60 | | range | 38 | | | | | 1st quartile | 29.75 | | median | 37.00 | | 3rd quartile | 46.00 | | interquartile range | 16.25 | | mode | n/a | | | | | low extremes | 0 | | low outliers | 0 | | high outliers | 0 | | high extremes | 0 | |

The appropriate measure of central tendency for age is the median which is 37 years of age, the mean which is equivalent to the average of 38 years of age, and the mode which cannot be derived from this data because there are no repetitive numbers. The range is 38, which is the difference between the maximum and minimum in this age data. The first quartile (25th percentile) is 29.75, the second quartile (the median) is 37, and the third quartile (75th percentile) is 46. The interquartile range is 16.25. The appropriate measure of central tendency and variability for the gender cannot be determined because the variable measured for this data is qualitative. To conclude, drawn from the data is that the average age of students is 38 years old, the median is 37 years old, and the majority of students are between the ages of 29.75 and 46 years of age. The youngest student is 22 years of age and the oldest student is 60 years of age. With 8 students consisting of female would be the majority in this case and the other being male of 6 counted for in this data.

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