Question

day 3
box & whisker plots
activity 1
sort the numbers below into least to greatest order.
17 12 18 19 21 20 18 13 15
next, identify the 5 numbers below
minimum ____ quartile 1 __ median __ quartile 3 __ maximum ____
last, create a box - and - whisker plot on the number line below
number line from 8 to 20
sort the numbers below into least to greatest order
8 7 11 13 10 12 9
next, identify the 5 numbers below
minimum ____ quartile 1 __ median __ quartile 3 __ maximum ____
last, create a box - and - whisker plot on the number line below
number line from 2 to 12
sort the numbers below into least to greatest order.
25 27 30 29 34 29 28 32 27
next, identify the 5 numbers below
minimum ____ quartile 1 __ median __ quartile 3 __ maximum ____
last, create a box - and - whisker plot on the number line below
number line from 22 to 34

Explanation:

First Dataset: 8, 7, 11, 13, 10, 12, 9

Step1: Sort values ascending

$7, 8, 9, 10, 11, 12, 13$

Step2: Find minimum

Minimum = smallest value: $7$

Step3: Find median (Q2)

Median = 4th value: $10$

Step4: Find Q1 (lower median)

Lower half: $7, 8, 9$; Q1 = $8$

Step5: Find Q3 (upper median)

Upper half: $11, 12, 13$; Q3 = $12$

Step6: Find maximum

Maximum = largest value: $13$

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Second Dataset: 17, 12, 18, 19, 21, 20, 18, 13, 15

Step1: Sort values ascending

$12, 13, 15, 17, 18, 18, 19, 20, 21$

Step2: Find minimum

Minimum = smallest value: $12$

Step3: Find median (Q2)

Median = 5th value: $18$

Step4: Find Q1 (lower median)

Lower half: $12, 13, 15, 17$; Q1 = $\frac{13+15}{2}=14$

Step5: Find Q3 (upper median)

Upper half: $18, 19, 20, 21$; Q3 = $\frac{19+20}{2}=19.5$

Step6: Find maximum

Maximum = largest value: $21$

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Third Dataset: 25, 27, 30, 29, 34, 29, 28, 32, 27

Step1: Sort values ascending

$25, 27, 27, 28, 29, 29, 30, 32, 34$

Step2: Find minimum

Minimum = smallest value: $25$

Step3: Find median (Q2)

Median = 5th value: $29$

Step4: Find Q1 (lower median)

Lower half: $25, 27, 27, 28$; Q1 = $\frac{27+27}{2}=27$

Step5: Find Q3 (upper median)

Upper half: $29, 30, 32, 34$; Q3 = $\frac{30+32}{2}=31$

Step6: Find maximum

Maximum = largest value: $34$

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Answer:

First Dataset

Sorted: $7, 8, 9, 10, 11, 12, 13$
Minimum: $7$, Q1: $8$, Median: $10$, Q3: $12$, Maximum: $13$
(Box plot: Whiskers at 7 and 13, box from 8 to 12, line at 10 on the 0-14 number line)

Second Dataset

Sorted: $12, 13, 15, 17, 18, 18, 19, 20, 21$
Minimum: $12$, Q1: $14$, Median: $18$, Q3: $19.5$, Maximum: $21$
(Box plot: Whiskers at 12 and 21, box from 14 to 19.5, line at 18 on the 8-22 number line)

Third Dataset

Sorted: $25, 27, 27, 28, 29, 29, 30, 32, 34$
Minimum: $25$, Q1: $27$, Median: $29$, Q3: $31$, Maximum: $34$
(Box plot: Whiskers at 25 and 34, box from 27 to 31, line at 29 on the 22-36 number line)