**Answer:???????**

**Step-by-step explanation: ?????????? ???????**

A) Five-number summary:

1. sample minimum

2. first quartile

3. median

4. third quartile

5. maximum

0) Order the data

State A: 4, 5, 6, 6, 7, 8, 9, 21, 25

State B: 10, 11, 12, 13, 14, 14, 15, 15, 16

1) Minimum:

State A: 4

State B: 10

2) Median: the middle of the sample

State A: 7

State B: 14

3) first quartle : the median of the first half:

State A: (5+6)/2 = 5.5

State B: (11+12)/2 = 11.5

4) third quartile: the median of the higher half

State A: (9+21) /2 = 15

State B: 15

5) Sample maximum:

State A: 25

State B: 16

6) Interquartile range: 3rd quartile - 1st quartile

State A: 15 - 5.5 = 9.5

State B: 15 - 11.5 = 4.5

B) Symmetry:

Distance to the median and the quartiles:

State A:

median - first quartile: 7 - 5.5 = 1.5

third quartile - median: 15 - 7 = 8

1.5 ≠ 8 => skewed (not symmetrical)

State B

median - first quartle : 14 - 11.5 = 2.5

third quartile - median: 15 -14 = 1

2.5 ≠ 1 => skewed

**Answer:**

x = -2

**Step-by-step explanation:**

**-20 = -4x - 6x + 2(10x)**

Simplify both sides:

**-20 = -4x - 6x + 20x**

Combine like terms:

**-20 = 10x**

Isolate the variable:

**x = -2**