NORMAL DISTRIBUTION

In certain city, the mean household annual income is P345, 000 with a standard deviation of P16,000. Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?

Answer:To find the annual income of the household with a z-score of 1.5, we can use the formula for calculating the value from a z-score in a normal distribution. The formula is:        Where: -   is the value we want to find (annual income of the household).-   is the mean annual income (P345,000).-   is the z-score (1.5).-   is the standard deviation (P16,000). Substitute the values into the formula:                       Therefore, the annual income of the household with a z-score of 1.5 is P369,000.

Answered by pauwieh | 2024-09-07