Answer:
Samples are indicative of the population .
Most values are close to the mean value.
Explanation:
The normal distribution is characterized by two parameters mean and standard deviation.
The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.
We see from the figure as the mean and standard deviation increase the spread and curve change.
FALSE: Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.
FALSE: The smaller the sample, the more the normal distribution takes on a bell curve
The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.
TRUE: Samples are indicative of the population .
The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.
Most values are close to the mean value
TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.
Which means more than 50% of the values lie 1 standard deviation of the mean.