Answer:
The true statements are:
- The median is 38.5.
- There is an outlier.
- The lower quartile is 29.
- The upper quartile is 70.
- The interquartile range is 41.
Step-by-step explanation:
The given data are: 35, 41, 18, 75, 36, 21, 62, 29, 154, 70
Make the data in order from the least to the greatest
18 , 21 , 29 , 35 , <u>36 , 41</u> , 62 , 70 , 75 , 154
So, the median of the data = (36 + 41)/2 = 38.5
We can deduce that The number 154 represents an outlier because the difference between 154 and 75 is much greater than the difference between the other data
If we divided the data to two groups , they will be:
(18 , 21 , <u>29 </u>, 35 , 36) , (41 , 62 , <u>70 </u>, 75 , 154)
So, The lower quartile Q1 is the median of the first group = 29
And the upper quartile Q2 is the median of the second group = 70
And the interquartile range = Q2 - Q1 = 70 - 29 = 41
So, the true statements are:
- The median is 38.5
- There is an outlier
- The lower quartile is 29
- The upper quartile is 70
- The interquartile range is 41.
