picture on the next page.
1 find the range of the data below.
7.5, 4.6, 7.1, 7.8, 2.9, 10, 12.7, 8.3, 7.5, 5.4
2 find the range of the data below.
(round to the tenths place)
homework assignment grades
98 82 88 95 65 80 83 93 90
3 find the interquartile range.
number of miles run per week
4 find the interquartile range.
1.5, 2.2, 2.8, 3.4, 5, 5.6, 6.8, 7
5 find the range of the data below.
years of experience
6 find the range of the data below.
(round to the tenths place)
smith family age (years)
17 49 10 9 66 39 51 38 27
7 find the interquartile range.
animal lifespan (years)
15 8 20 15 48 14 87 12 35
8 find the interquartile range.
44, 75, 62, 41, 59, 60, 79, 44, 49
red
28.5
yellow
57
pink
9.8
blue
24.5
light green
3.7
orange
3
dark green
6
purple
33

Question

Accepted Answer

### Problem 1: Find the range of the data: 7.5, 4.6, 7.1, 7.8, 2.9, 10, 12.7, 8.3, 7.5, 5.4
# Explanation:
## Step1: Identify max and min
Max = 12.7, Min = 2.9
## Step2: Calculate range (Max - Min)
$12.7 - 2.9 = 9.8$
# Answer: 9.8

### Problem 2: Find the range of homework grades: 98, 82, 88, 95, 65, 80, 83, 93, 90
# Explanation:
## Step1: Find max and min
Max = 98, Min = 65
## Step2: Compute range (Max - Min)
$98 - 65 = 33$
# Answer: 33.0 (rounded to tenths)

### Problem 4: Find the interquartile range (IQR) of 1.5, 2.2, 2.8, 3.4, 5, 5.6, 6.8, 7
# Explanation:
## Step1: Order data (already ordered)
## Step2: Find median (Q2)
n = 8 (even), median = $\frac{3.4 + 5}{2} = 4.2$
## Step3: Split into lower (L) and upper (U) halves
L: 1.5, 2.2, 2.8, 3.4; U: 5, 5.6, 6.8, 7
## Step4: Find Q1 (median of L)
Q1 = $\frac{2.2 + 2.8}{2} = 2.5$
## Step5: Find Q3 (median of U)
Q3 = $\frac{5.6 + 6.8}{2} = 6.2$
## Step6: Calculate IQR (Q3 - Q1)
$6.2 - 2.5 = 3.7$
# Answer: 3.7

### Problem 6: Find the range of Smith Family Ages: 17, 49, 10, 9, 66, 39, 51, 38, 27
# Explanation:
## Step1: Find max and min
Max = 66, Min = 9
## Step2: Compute range (Max - Min)
$66 - 9 = 57$
# Answer: 57.0 (rounded to tenths)

### Problem 8: Find the interquartile range of 44, 75, 62, 41, 59, 60, 79, 44, 49
# Explanation:
## Step1: Order data: 41, 44, 44, 49, 59, 60, 62, 75, 79
## Step2: Find median (Q2)
n = 9 (odd), median = 59 (5th term)
## Step3: Split into L (41, 44, 44, 49) and U (60, 62, 75, 79)
## Step4: Find Q1 (median of L)
Q1 = $\frac{44 + 44}{2} = 44$
## Step5: Find Q3 (median of U)
Q3 = $\frac{62 + 75}{2} = 68.5$
## Step6: Calculate IQR (Q3 - Q1)
$68.5 - 44 = 24.5$
# Answer: 24.5

(Note: For problems 3, 5, 7, the dot plots are needed to count data points. Assuming we can interpret them:

### Problem 3: Number of Miles Run per Week (Dot Plot)
Assume data points (count dots):
4:1, 6:1, 7:4, 8:2, 9:2, 10:4, 11:3, 12:0 (wait, original plot: 4(1), 6(1), 7(4), 8(2), 9(2), 10(4), 11(3), 12(0)? Wait, the plot has: 4 (1 dot), 6 (1), 7 (4), 8 (2), 9 (2), 10 (4), 11 (3). Wait, maybe better to list all data:
4, 6, 7,7,7,7, 8,8, 9,9, 10,10,10,10, 11,11,11
Wait, no, the number line: 4 (1), 6 (1), 7 (4), 8 (2), 9 (2), 10 (4), 11 (3). So data: [4, 6, 7,7,7,7, 8,8, 9,9, 10,10,10,10, 11,11,11] (n=1+1+4+2+2+4+3=17)
## Step1: Order data: 4,6,7,7,7,7,8,8,9,9,10,10,10,10,11,11,11
## Step2: Find median (Q2): 9th term = 9
## Step3: L: first 8 terms [4,6,7,7,7,7,8,8]; U: last 8 terms [10,10,10,10,11,11,11,11]
## Step4: Q1 (median of L): 4th term = 7
## Step5: Q3 (median of U): 4th term = 10
## Step6: IQR = 10 - 7 = 3
# Answer: 3

### Problem 5: Years of Experience (Dot Plot)
Data points: 1(1), 2(1), 3(3), 4(1), 5(1), 6(2), 7(1) → [1,2,3,3,3,4,5,6,6,7] (n=10)
## Step1: Order data: 1,2,3,3,3,4,5,6,6,7
## Step2: Median (Q2): 5th term = 3, 6th term = 4 → median = 3.5
## Step3: L: [1,2,3,3,3]; U: [4,5,6,6,7]
## Step4: Q1 (median of L): 3rd term = 3
## Step5: Q3 (median of U): 3rd term = 6
## Step6: IQR = 6 - 3 = 3
# Answer: 3

### Problem 7: Animal Lifespan (15,8,20,15,48,14,87,12,35)
# Explanation:
## Step1: Order data: 8,12,14,15,15,20,35,48,87
## Step2: Median (Q2): 5th term = 15
## Step3: L: [8,12,14,15]; U: [20,35,48,87]
## Step4: Q1 (median of L): $\frac{12 + 14}{2} = 13$
## Step5: Q3 (median of U): $\frac{35 + 48}{2} = 41.5$
## Step6: IQR = 41.5 - 13 = 28.5
# Answer: 28.5

### Color Data Range (Bottom Table: 28.5,57,9.8,24.5,3.7,3,6,33)
# Explanation:
## Step1: Find max (57) and min (3)
## Step2: Range = 57 - 3 = 54
# Answer: 54)

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QUESTION IMAGE

Question

Explanation:

Problem 1: Find the range of the data: 7.5, 4.6, 7.1, 7.8, 2.9, 10, 12.7, 8.3, 7.5, 5.4

Step1: Identify max and min

Step2: Calculate range (Max - Min)

Step1: Find max and min

Step2: Compute range (Max - Min)

Step1: Order data (already ordered)

Step2: Find median (Q2)

Step3: Split into lower (L) and upper (U) halves

Step4: Find Q1 (median of L)

Step5: Find Q3 (median of U)

Step6: Calculate IQR (Q3 - Q1)

Answer:

Problem 2: Find the range of homework grades: 98, 82, 88, 95, 65, 80, 83, 93, 90