A random group of 5 boys and a random group of 5 girls were selected to determine whether boys or girls text more. The table shows the number of texts sent by each person during one day. Comparing the data sets, which inference can be made?
A) The number of texts sent by boys varies greatly.
B) The median is the best measure to use to compare the sets.
C) The outlier of 168 does not affect either the mean or median.
D) The median for the number of texts sent by boys is less than the median for the girls.----
To determine which inference can be made by comparing the data sets, let's analyze the information given and the options provided.
First, the table shows the number of texts sent by each person during one day. We have two groups: a group of 5 boys and a group of 5 girls.
Next, let's examine the options and see which inference can be made:
A) The statement that "the number of texts sent by boys varies greatly" cannot be determined based on the information given. We don't have any details about the range or variability of the number of texts sent by boys. Therefore, option A cannot be inferred.
B) The statement that "the median is the best measure to use to compare the sets" is a general statement about comparing sets using the median. It does not provide any specific information or comparison between the boys' and girls' data. Therefore, option B is not a valid inference based on the information given.
C) The statement that "the outlier of 168 does not affect either the mean or median" provides information about the outlier but does not relate it to the comparison of boys' and girls' data. Therefore, option C is not a valid inference based on the information given.
D) The statement that "the median for the number of texts sent by boys is less than the median for the girls" can be inferred by comparing the medians of the two data sets. By finding the median value for both the boys' and girls' data sets, we can determine which group had a lower median number of texts sent.
In conclusion, the valid inference that can be made based on the information given is:
D) The median for the number of texts sent by boys is less than the median for the girls.