7-3- The Normal Distribution

A distribution with a single peak

A symmetric, bell-shaped curve

A distribution with two peaks

A skewed distribution

Skewed left has a tail on the left; skewed right has a tail on the right

Skewed left has a tail on the right; skewed right has a tail on the left

Both have tails on the left

Both have tails on the right

68.3%

95.5%

99.7%

50%

560-570 grams

555-575 grams

550-580 grams

It represents the mean value.

It shows the distribution of data around the mean.

It indicates the maximum value.

It highlights the minimum value.

Its absolute value.

Its position relative to the mean.

Its frequency in the dataset.

Its maximum possible value.

Add the mean, then multiply by the standard deviation.

Subtract the mean, then divide by the standard deviation.

Multiply by the mean, then add the standard deviation.

Divide by the mean, then subtract the standard deviation.

The data point is 2 standard deviations above the mean

The data point is 2 standard deviations below the mean

The data point is at the mean

The data point is at the median

68-95-99.7 rule

50-75-99 rule

60-90-100 rule

70-80-90 rule

P(X > x)

P(X < x)

P(X = x)

P(X ≤ x)

Percentile = x̄ + zσ

Percentile = x̄ - zσ

Percentile = zσ + x̄

Percentile = zσ - x̄

0.675

1.282

1.645

0

To understand probability

To use the normal distribution curve

To learn about statistics

To analyze data