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?
Who Texts More?
Boys Girls
19 14
23 17
26 21
27 25
30 168
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.
Eliminate
D) The median for the number of texts sent by boys is less than the median for the girls. *****
not D. The median is the 3rd number in each list.
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To determine the inference that can be made from the given data sets, we need to compare the central tendency measures such as the mean and median.
To calculate the mean for each group, we add up the number of texts sent by each person in the group and divide it by the total number of people in the group. Here are the mean values for both groups:
Boys group mean: (19 + 23 + 26 + 27 + 30) / 5 = 25
Girls group mean: (14 + 17 + 21 + 25 + 168) / 5 ≈ 49
We can see that the mean number of texts for the boys group is 25, while the mean for the girls group is 49. This suggests that, on average, girls send more texts than boys.
Next, let's compare the medians. The median is the middle value when the data is arranged in ascending or descending order. If there is an even number of data points, the median is the average of the two middle values.
Boys group median: 26
Girls group median: 21
The median for the boys group is 26, while the median for the girls group is 21. This contradicts the given statement that the median for the boys group is less than the median for the girls. Therefore, option D) "The median for the number of texts sent by boys is less than the median for the girls" is not correct.
In conclusion, we can infer from the given data sets that, on average, girls send more texts than boys. Therefore, option D) "The median for the number of texts sent by boys is less than the median for the girls" is the correct inference that can be made.