## Can you have negative z-score?

A Z-score of 1.0 would indicate a value that is one standard deviation from the mean. Z-scores may be positive or negative, with a positive value indicating the score is above the mean and a negative score indicating it is below the mean.

## How do you use a negative z-score?

If you have a negative z-score simply use the same table but disregard the negative sign, then subtract the area from the table from 1.

**How do you find the area of a negative z-score?**

Area to the Right of a Negative z Score By the symmetry of the bell curve, finding the area to the right of a negative z-score is equivalent to the area to the left of the corresponding positive z-score. For example, the area to the right of z = -1.02 is the same as the area to the left of z = 1.02.

### Can a mean be negative?

The mean of a normal distribution can be negative. This is guaranteed to happen if every data point has a negative value, and it can happen when only some of the data points are negative. Note that if the mean of a normal distribution is negative, then more than 50% of the data points in the distribution are negative.

### How do you find the z-score of a negative Z table?

To find the area on the left of the mean, you will have a negative Z Score and use a negative Z Table. Similarly, to find the area on the right of the mean, you will have a positive Z Score and use a positive Z Table.

**What statistics can be negative?**

Explanation: If the sample mean is less than the population mean, then the difference will be negative So, if ¯x<μ , the t-statistic will be negative.

#### What percentile is Z =- 2?

This rule states that 68 percent of the area under a bell curve lies between -1 and 1 standard deviations either side of the mean, 94 percent lies within -2 and 2 standard deviations and 99.7 percent lies within -3 and 3 standard deviations; these standard deviations are the “z scores.”

#### What is the z-score of 85?

Percentile | z-Score |
---|---|

85 | 1.036 |

86 | 1.08 |

87 | 1.126 |

88 | 1.175 |

**What does a negative mean indicate in statistics?**

It simply means that the values and frequency for the data you are analyzing had enough negative values that the mean was negative. If you did not expect such a result it could be that a highly influential negatively valued observation is skewing the mean.

## What happens if you get a negative t-statistic?

Find a t-value by dividing the difference between group means by the standard error of difference between the groups. A negative t-value indicates a reversal in the directionality of the effect, which has no bearing on the significance of the difference between groups.

## What is the z-score for 40%?

Percentile | z-Score |
---|---|

37 | -0.332 |

38 | -0.305 |

39 | -0.279 |

40 | -0.253 |