Question

If the mean of a given dataset is 600,000 and the standard deviation is 19,000, where will a majority of the data lie?

a. 581,000 to 619,000
b. 600,000 to 619,000
c. 19,000 to 600,000

Answer 1

a. The distribution of X is approximately normal. b. Insufficient information to determine if 1,956.8 is a population mean or sample mean. c. Insufficient information to calculate probabilities or find the third quartile.

Step-by-step explanation:

a. State the approximate distribution of X: The given mean and standard deviation are characteristics of a normal distribution, also known as a Gaussian distribution or bell curve.

b. Is 1,956.8 a population mean or a sample mean? How do you know? Without more context, it is unclear if 1,956.8 is a population mean or a sample mean. More information is needed to determine whether the value represents the entire population or a subset of it.

c. Find the probability that a randomly selected district had fewer than 1,600 votes for the candidate. Sketch the graph, and write the probability statement. Without additional information or data, it is not possible to calculate the probability or sketch the graph.

Find the probability that a randomly selected district had between 1,800 and 2,000 votes for the candidate. Find the third quartile for votes for the candidate. Without additional information or data, it is not possible to calculate the probability or find the third quartile.