class of fourth graders takes a diagnostic reading test, and the scores are reported by reading grade level. The 5-number summaries for the 14 boys and 16 girls are shown below. Complete parts a) through f) below. Boys: 2.3 4.1 4.7 5.4 5.9 Girls: 2.4 3.4 4.1 4.8 5.7 a) Which group had the highest score? Girls Boys 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 nothing. B. Girls had the greatest range of nothing. C. The two groups have the same range of nothing. 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. Girls had the greatest interquartile range of nothing. B. Boys had the greatest interquartile range of nothing. C. The two groups have the same IQR of nothing. 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 median. (In the distribution of girls' scores, the quartiles are not the same distance from the median.) B. 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.) C. The girls' scores are more skewed, because the quartiles are the same distance from the mean. D. 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.) e) Which group generally did better on the test? Explain.
class of fourth graders takes a diagnostic reading test, and the scores are reported by reading grade level. The 5-number summaries for the 14 boys and 16 girls are shown below. Complete parts a) through f) below. Boys: 2.3 4.1 4.7 5.4 5.9 Girls: 2.4 3.4 4.1 4.8 5.7 a) Which group had the highest score? Girls Boys 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 nothing. B. Girls had the greatest range of nothing. C. The two groups have the same range of nothing. 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. Girls had the greatest interquartile range of nothing. B. Boys had the greatest interquartile range of nothing. C. The two groups have the same IQR of nothing. 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 median. (In the distribution of girls' scores, the quartiles are not the same distance from the median.) B. 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.) C. The girls' scores are more skewed, because the quartiles are the same distance from the mean. D. 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.) e) Which group generally did better on the test? Explain.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Topic Video
Question
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
14
boys and
16
girls are shown below. Complete parts a) through f) below.Boys: 2.3 4.1 4.7 5.4 5.9 Girls: 2.4 3.4 4.1 4.8 5.7
a) Which group had the highest score?
Girls
Boys
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.)
Boys
had the greatest range of
nothing.
Girls
had the greatest range of
nothing.
The two groups have the same range of
nothing.
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.)
Girls
had the greatest nothing.
Boys
had the greatest interquartile range of
nothing.
The two groups have the same IQR of
nothing.
d) Which group's scores appear to be more skewed? Explain.
The
quartiles are the same distance from the median. (In the distribution of
boys'
scores are more skewed, because the girls'
scores, the quartiles are not the same distance from the median.)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.)The
girls'
scores are more skewed, because the quartiles are the same distance from the mean.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.)e) Which group generally did better on the test? Explain.
The
girls
did better on the reading test, because the median for the
girls
was higher than the median for the
boys.
The
girls
did better on the reading test, because the mean for the
girls
was higher than the mean for the
boys.
The
boys
did better on the reading test, because the mean for the
boys
was higher than the mean for the
girls.
The
boys
did better on the reading test, because the upper quartile for the
boys
was higher than the upper quartile for the
girls.
The
boys
did better on the reading test, because the median for the
boys
was higher than the median for the
girls.
f) If the mean reading level for boys was
4.6
and for girls was
4.0,
what is the overall mean for the class?The overall mean for the class is
nothing.
(Round to two decimal places as needed.)
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