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A class of fourth graders takes a diagnostic reading test, and the scores are reported by reading grade level. The 5-number summaries for the
A class of fourth graders takes a diagnostic reading test, and the scores are reported by reading grade level. The 5-number summaries for the 15 boys and 14 girls are shown below. Complete parts a) through f) below. Boys: 2.2 3.9 4.6 5.3 5.7 Girls: 2.5 3.6 4.1 4.5 5.8 ... a) Which group had the highest score? Boys Girls b) Which group had the greatest range? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. Boys had the greatest range of B. Girls had the greatest range of C. The two groups have the same range of c) Which group had the greatest interquartile range? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. Boys had the greatest interquartile range of Next A class of fourth graders takes a diagnostic reading test, and the scores are reported by reading grade level. The 5-number summaries for the 15 boys and 14 girls are shown below. Complete parts a) through f) below. Boys: 2.2 3.9 4.6 5.3 5.7 Girls: 2.5 3.6 4.1 4.5 5.8 c) vvnich group had the greatest interquartile range? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. Boys had the greatest interquartile range of B. Girls had the greatest interquartile range of C. The two groups have the same IQR of d) Which group's scores appear to be more skewed? Explain. A. The boys' scores are more skewed, because the quartiles are the same distance from the mean. B. The boys' scores are more skewed, because the quartiles are not the same distance from the median. (In the distribution of girls' scores, the quartiles are the same distance from the median.) C. The girls' scores are more skewed, because the quartiles are the same distance from the median. (In the distribution of boys' scores, the quartiles are not the same distance from the median.) D. The girls' scores are more skewed, because the quartiles are not the same distance from the median. (In the distribution of boys' scores, the quartiles are the same distance from the median.) e) Which group generally did better on the test? Explain. A. The girls did better on the reading test, because the mean for the girls was higher than the mean for the boys. B. The girls did better on the reading test, because the median for the girls was higher than the median for the boys. C. The boys did better on the reading test, because the median for the boys was higher than the median for the girls. D. The boys did better on the reading test, because the mean for the boys was higher than the mean for the girls. E. The boys did better on the reading test, because the upper quartile for the boys was higher than the upper quartile for the girls. f) If the mean reading level for boys was 4.5 and for girls was 3.9, what is the overall mean for the class? The overall mean for the class is . (Round to two decimal places as needed.)
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