Range and Interquartile Range

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Show your work for each problem.

1.
What is the range of this data set: $8, 12, 15, 19, 23$ ?
1. a) $15$
2. b) $11$
3. c) $23$
4. d) $8$
2.
Find the range: $35, 42, 18, 56, 29$
3.
In the data set $5, 9, 12, 15, 18, 22, 25$ , what is the median (Q2)?
1. a) $12$
2. b) $15$
3. c) $14$
4. d) $18$
4.
For the data $3, 7, 9, 12, 15$ , what is Q1 (the first quartile)?
5.
Find the IQR of: $4, 8, 10, 14, 18, 22, 26$
6.
Which measure of spread is least affected by outliers?
1. a)Both Range and IQR
2. b)Interquartile Range (IQR)
3. c)Maximum
4. d)Range
7.
Find the IQR: $2, 5, 8, 11, 14, 17, 20, 23$
8.
The test scores are: $65, 72, 78, 82, 85, 88, 92, 98$ . What is Q3?
9.
Data set A: Range = 50, IQR = 12. Data set B: Range = 50, IQR = 40. Which statement is true?
1. a)Both sets have the same distribution
2. b)Set A has data more clustered in the middle
3. c)We cannot compare them
4. d)Set B has data more clustered in the middle
10.
Data: $15, 18, 22, 25, 28, 32, 35, 38, 95$ . Find the range and the IQR. Which one better describes the typical spread?
11.
A data set has $Q_1 = 24$ and an IQR of $28$ . What is $Q_3$ ?
12.
A data set has Range = 100 and IQR = 8. What can you conclude?
1. a)The median equals the mean
2. b)The data likely has outliers
3. c)All values are close together
4. d)The data is evenly spread
13.
Heights (cm): $155, 158, 162, 165, 168, 172, 175, 178, 182, 185$ . Find the five-number summary and IQR.
14.
Monthly sales (thousands): $45, 52, 48, 61, 55, 58, 150, 62, 57, 54, 59, 51$ . Find both the range and IQR.
15.
Class A has IQR = 15. Class B has IQR = 5. Which class has more consistent test scores? Type A or B.