A | B | C | D | Average |
---|---|---|---|---|
3 | 4 | 4 | ? | 4 |
3 | ? | 5 | ? | 4 |
? | 3 | 3 | ? | 4 |
? | ? | ? | ? | 4.25 |
4 | 4 | 4 | 4.25 |
Calculate Missing Values for Each Row:
For R1: The total score for R1 is:
\[ \text{Total} = 4 \times 4 = 16 \]
Known values are 3, 4, 4. Missing value for \(D\):
\[ 16 - (3 + 4 + 4) = 5 \]
For R2: The total score for R2 is:
\[ \text{Total} = 4 \times 4 = 16 \]
Known values are 3 and 5. Missing values for \(B\) and \(D\):
\[ 16 - (3 + 5) = 8, \quad \text{Distribute equally: } B = 4, D = 4 \]
For R3: The total score for R3 is:
\[ \text{Total} = 4 \times 4 = 16 \]
Known values are 3, 3. Missing values for \(A\) and \(D\):
\[ 16 - (3 + 3) = 10, \quad \text{Distribute equally: } A = 5, D = 5 \]
For R4: The total score for R4 is:
\[ \text{Total} = 4.25 \times 4 = 17 \]
Distribute across \(A, B, C, D\) equally (to maintain averages for columns):
\[ A = 4, B = 4, C = 4, D = 5 \]
Final Table with Missing Values Filled:
A | B | C | D | Average |
---|---|---|---|---|
3 | 4 | 4 | 5 | 4 |
3 | 4 | 5 | 4 | 4 |
5 | 3 | 3 | 5 | 4 |
4 | 4 | 4 | 5 | 4.25 |
4 | 4 | 4 | 4.25 |
Verification:
Row and column averages match the given data. The calculations are consistent.
Ullas | Vasu | Waman | Xavier | Yusuf | |
---|---|---|---|---|---|
Mean rating | 2.2 | 3.8 | 3.4 | 3.6 | 2.6 |
Median rating | 2 | 4 | 4 | 4 | 3 |
Model rating | 2 | 4 | 5 | 5 | 1 and 4 |
Range of rating | 3 | 3 | 4 | 4 | 3 |
Ullas | Vasu | Waman | Xavier | Yusuf | |
---|---|---|---|---|---|
Mean rating | 2.2 | 3.8 | 3.4 | 3.6 | 2.6 |
Median rating | 2 | 4 | 4 | 4 | 3 |
Model rating | 2 | 4 | 5 | 5 | 1 and 4 |
Range of rating | 3 | 3 | 4 | 4 | 3 |
Ullas | Vasu | Waman | Xavier | Yusuf | |
---|---|---|---|---|---|
Mean rating | 2.2 | 3.8 | 3.4 | 3.6 | 2.6 |
Median rating | 2 | 4 | 4 | 4 | 3 |
Model rating | 2 | 4 | 5 | 5 | 1 and 4 |
Range of rating | 3 | 3 | 4 | 4 | 3 |