1.Find the IQR of the data set: 2, 4, 5, 6, 8, 9, 13, 14, 15, 18.
2.Find the IQR of the data set: 90, 99, 82, 79, 100, 85, 95.
3.The numbers below represent the scores on a science test. Find the interquartile range.
4.Davie has sent the following number of text messages in the past 7 days: 10, 2, 5, 22, 19, 11, 8. Gabby has sent the following number of text messages in the past 7 days: 19, 15, 25, 24, 20, 29, 21. Using IQR, who has had a higher variability of text messages per day?
5.The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grades at Lincoln Middle School. Find the IQR of each set.
plsssss help need this today if anyone sees this plss help me
-correcto ◑﹏◐
(1.) 9
(2.)17
(3.)4
(4.)Davie has a higher variability bc his iqr is 8 more than gabby's
(5.)IQR for both sets is 8
@. is corect
@Ur dad i got 100
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1. To find the IQR (Interquartile Range) of a dataset, follow these steps:
- First, arrange the data in ascending order: 2, 4, 5, 6, 8, 9, 13, 14, 15, 18.
- Then, find the median (middle value) of the dataset, which is the number between the two middle values. In this case, the median is 8.
- Next, find the lower quartile (Q1), which is the median of the lower half of the dataset. In this case, the lower half is 2, 4, 5, and 6. The median of this lower half is 4.
- Similarly, find the upper quartile (Q3), which is the median of the upper half of the dataset. In this case, the upper half is 9, 13, 14, and 15. The median of this upper half is 14.
- Finally, calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 14 - 4 = 10. Therefore, the IQR of the given dataset is 10.
2. To find the IQR of the dataset 90, 99, 82, 79, 100, 85, 95, follow the same steps:
- Arrange the data in ascending order: 79, 82, 85, 90, 95, 99, 100.
- Find the median (middle value) of the dataset, which is the number between the two middle values. In this case, the median is 90.
- Find the lower quartile (Q1), which is the median of the lower half of the dataset. In this case, the lower half is 79, 82, and 85. The median of this lower half is 82.
- Find the upper quartile (Q3), which is the median of the upper half of the dataset. In this case, the upper half is 95, 99, and 100. The median of this upper half is 99.
- Calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 99 - 82 = 17. Therefore, the IQR of the given dataset is 17.
3. To find the interquartile range (IQR) of a dataset with given scores, follow the steps mentioned previously in the answers to questions 1 and 2. Arrange the scores in ascending order, find the median, lower quartile (Q1), and upper quartile (Q3), and then calculate the IQR by subtracting Q1 from Q3.
4. To compare the variability of text messages per day using IQR:
- For Davie's dataset (10, 2, 5, 22, 19, 11, 8), calculate the IQR following the steps described in the previous answers.
- For Gabby's dataset (19, 15, 25, 24, 20, 29, 21), calculate the IQR using the same steps.
- Compare the IQR values for both datasets. The dataset with the higher IQR has a higher variability of text messages per day.
5. To find the IQR of each set in a box-and-whisker plot, follow the steps mentioned in question 1. Arrange the data, find the median, lower quartile (Q1), upper quartile (Q3), and calculate the IQR for each set of data shown in the plot.