Answer:
Step-by-step explanation:
1. The given data is:
12, 14, 16, 17.5, 10, 18, 15, 15.5, 19
Arrange this in ascending order, we have
10, 12, 14, 15, 15.5, 16, 17.5, 18, 19
The median of the given data is 15.5, thus the lower quartile is:
and
Upper quartile is:

Now, the interquartile range is given as:


Option A is correct.
2. The given data set is:
32, 21, 88, 64, 88, 107, 101
Now, the range is given as:


3. It is given that Lara is calculating the standard deviation of a data set that has 8 values. She determines that the sum of the squared deviations is 184.
Thus, Number of data=8 and sum of squared deviations=184
Now, 

Thus, 
4. The given data set is:
7, 3, 4, 2, 5, 6, 9


Now, find the distance of mean from each data point, we have
Data points 
7 3.45
3 4.57
4 1.29
2 9.85
5 0.01
6 0.73
9 14.89
Now, 
Then, 
Thus, standard deviation is:

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