Please help me with this I tried but I am failing to find wright number question 4
Answers
Answer:
5, 5. 8, 8, 9
Explanation:
The five cards are:
5 _ _ _ _
Range = 4Range=4
Median = 8Median=8
Mean = 7Mean=7
Required
Complete the numbers
First, we have:
Range = 4Range=4
This is calculated as:
Range = Highest - LowestRange=Highest−Lowest
So, we have:
4= Highest - 54=Highest−5
Solve for Highest
Highest = 4 +5Highest=4+5
Highest = 9Highest=9
So, we have: 5 _ _ _ 9
Next: Median = 8Median=8
This implies that the middle number is 8
So, we have: 5 _ 8 _ 9
Mean = 7Mean=7
Mean is calculated as:
Mean = \frac{\sum x}{n}Mean=
n
∑x
Let the two missing numbers be a and b.
So, we have:
Mean = \frac{5 + a + 8 + b + 9}{5}Mean=
5
5+a+8+b+9
\frac{5 + a + 8 + b + 9}{5} = 7
5
5+a+8+b+9
=7
Multiply both sides by 5
5 + a + 8 + b + 9 = 355+a+8+b+9=35
Collect like terms
a + b = 35 - 5 - 8 - 9a+b=35−5−8−9
a + b = 13a+b=13
Since the number are ordered in ascending order.
And we have: 5 _ 8 _ 9
Then: 5 \le a \le 85≤a≤8 and 8 \le b \le 98≤b≤9
a must be between 5 and 8 (inclusive)
b must be between 8 and 9 (inclusive)
Using trial by error:
a = 5\ and\ b = 8a=5 and b=8
Because:
a + b = 13a+b=13
5 + 8 = 135+8=13
Hence, the complete list is: 5, 5. 8, 8, 9
Answer:
6,7,8,9
Step-by-step explanation:
b is 6 c is 7 d is 8 e I 9
this is right