Let the minimum, maximum, mean and standard deviation values for the attribute…
2024
Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹46000, ₹170000, ₹96000, and ₹21000, respectively. The z-score normalized income value of ₹106000 is closest to which ONE of the following options?
- A.
0.217
- B.
0.476
- C.
0.623
- D.
2.304
Attempted by 11 students.
Show answer & explanation
Correct answer: B
Solution:
Use the z-score formula to normalize the income value.
Formula: z = (value − mean) / standard deviation
Plug in the numbers: value = 106000, mean = 96000, standard deviation = 21000.
Calculation: z = (106000 − 96000) / 21000 = 10000 / 21000 ≈ 0.476
Conclusion: The z-score normalized value closest to ₹106000 is 0.476.