girls heights\nwhen comparing the shapes of the two sets of data, what conclusion can someone draw?\nthe…
girls heights\nwhen comparing the shapes of the two sets of data, what conclusion can someone draw?\nthe shortest boy is taller than the shortest girl.\nthe range for the girls is greater than the range for the boys.\nthere is an outlier in the data for the boys, but not for the girls.\nthe girls are generally taller than the boys.
Answer
Explanation:
Step1: Calculate range for girls
Range = maximum - minimum. For girls, minimum height is 44 inches and maximum is 58 inches. So range for girls is $58 - 44=14$ inches. Since no data about boys is given in the dot - plot, we assume we are just analyzing the girls' data in relation to the statements.
Step2: Analyze each option
- Option 1: No data about boys' heights is given in the plot, so we can't compare the shortest boy and shortest girl.
- Option 2: Since no boys' data is given in the plot, we can't compare ranges. But if we just consider the girls' data, we calculated the range as 14 inches. Without boys' data, we can't say if girls' range is greater than boys'.
- Option 3: There is no value in the girls' data that is extremely far from the rest of the data points, so there is no outlier for girls. And since no boys' data is given, we can't say about boys' outlier.
- Option 4: No data about boys' heights is given in the plot, so we can't compare the general height of girls and boys.
Since no boys' data is given in the provided dot - plot, we can't make any of the comparisons in options 1, 2, 4. And we can confirm there is no outlier for girls. But we can't say about boys' outlier. However, based on the available data about girls only, we can say that the statements about comparisons with boys are not valid as there is no boys' data.
Answer:
None of the options can be concluded based on the given girls' data only as no boys' data is provided in the dot - plot.