Solution:
<u>Step-1: Find the data.</u>
- 70's: 1
- 80's: 1
- 90's: 2
- 100's: 3
- 110's: 4
- 120's: 4
- 130's: 2
- 140's: 1
Data obtained (Smallest to biggest):
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
<u>Step-2: Count the number of digits.</u>
<u>Step-3: Use the formula "Total digits/2".</u>
The 9th digit in the data is the median.
<u>Step-4: Revise the data.</u>
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
The median value of the line plot is 110.
The four consecutive even integers are 20, 22, 24, 26
<em><u>Solution:</u></em>
Let the four consecutive even integers are a , a + 2, a + 4, a + 6
Let "a" be the smallest integer and "a + 6" be the largest integer
To find: the four consecutive even integers
Given that the greatest of four consecutive even integers is 14 less than twice the smallest integer
largest integer = twice the smallest integer - 14
a + 6 = 2(a) - 14
a + 6 = 2a - 14
a - 2a = -14 - 6
-a = -20
a = 20
<em><u>Thus the four consecutive even integers are:</u></em>
a = 20
a + 2 = 20 + 2 = 22
a + 4 = 20 + 4 = 24
a + 6 = 20 + 6 = 26
Thus the four consecutive even integers are 20, 22, 24, 26
Answer:
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