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Negative Z Score Table

negative Z score value indicates the raw score value is either left or below the mean of the standard normal distribution.

The negative z score in the z-table represents the area under the bell curve to the left of z.

If the z score value is negative, use the negative z table to find an area on the left of the mean of the distribution.

You can refer Z score calculator article which explains how to calculate the Z score using the z score formula below

z = (x -μ )/σ

Where:
μ = is the population mean for the unstandardized value
σ = is the population standard deviation for the unstandardized value
x = is the raw score value

z = is the calculated z-score value.

In this tutorial, we will discuss negative z score, and how to read a negative z score chart with examples.

Negative Z-Score Table

A negative z-score value is either left or below the mean of standard normal distribution.

A negative z-score table has values less than 0.

Negative Z Score Chart

z0.090.080.070.060.050.040.030.020.010.0
-3.40.00020.00030.00030.00030.00030.00030.00030.00030.00030.0003
-3.30.00030.00040.00040.00040.00040.00040.00040.00050.00050.0005
-3.20.00050.00050.00050.00060.00060.00060.00060.00060.00070.0007
-3.10.00070.00070.00080.00080.00080.00080.00090.00090.00090.0010
-3.00.00100.00100.00110.00110.00110.00120.00120.00130.00130.0013
-2.90.00140.00140.00150.00150.00160.00160.00170.00180.00180.0019
-2.80.00190.00200.00210.00210.00220.00230.00230.00240.00250.0026
-2.70.00260.00270.00280.00290.00300.00310.00320.00330.00340.0035
-2.60.00360.00370.00380.00390.00400.00410.00430.00440.00450.0047
-2.50.00480.00490.00510.00520.00540.00550.00570.00590.00600.0062
-2.40.00640.00660.00680.00690.00710.00730.00750.00780.00800.0082
-2.30.00840.00870.00890.00910.00940.00960.00990.01020.01040.0107
-2.20.01100.01130.01160.01190.01220.01250.01290.01320.01360.0139
-2.10.01430.01460.01500.01540.01580.01620.01660.01700.01740.0179
-2.00.01830.01880.01920.01970.02020.02070.02120.02170.02220.0228
-1.90.02330.02390.02440.02500.02560.02620.02680.02740.02810.0287
-1.80.02940.03010.03070.03140.03220.03290.03360.03440.03510.0359
-1.70.03670.03750.03840.03920.04010.04090.04180.04270.04360.0446
-1.60.04550.04650.04750.04850.04950.05050.05160.05260.05370.0548
-1.50.05590.05710.05820.05940.06060.06180.06300.06430.06550.0668
-1.40.06810.06940.07080.07210.07350.07490.07640.07780.07930.0808
-1.30.08230.08380.08530.08690.08850.09010.09180.09340.09510.0968
-1.20.09850.10030.10200.10380.10560.10750.10930.11120.11310.1151
-1.10.11700.11900.12100.12300.12510.12710.12920.13140.13350.1357
-1.00.13790.14010.14230.14460.14690.14920.15150.15390.15620.1587
-0.90.16110.16350.16600.16850.17110.17360.17620.17880.18140.1841
-0.80.18670.18940.19220.19490.19770.20050.20330.20610.20900.2119
-0.70.21480.21770.22060.22360.22660.22960.23270.23580.23890.2420
-0.60.24510.24830.25140.25460.25780.26110.26430.26760.27090.2743
-0.50.27760.28100.28430.28770.29120.29460.29810.30150.30500.3085
-0.40.31210.31560.31920.32280.32640.33000.33360.33720.34090.3446
-0.30.34830.35200.35570.35940.36320.36690.37070.37450.37830.3821
-0.20.38290.38970.39360.39740.40130.40520.40900.41290.41680.4207
-0.10.42470.42860.43250.43640.44040.44430.44830.45220.45620.4602
-0.00.46410.46810.47210.47610.48010.48400.48800.49200.49600.5000
Negative Standard Normal Distribution Table

This negative z score table having a z value between 0 to -3.4 represents the area under the bell curve to the left of z.

Negative Z Score Table Example

Let’s understand how to use a negative z-score chart with an example.

Consider, we have below information

  • Mean: 71
  • Standard deviation: 4
  • Raw score: 68

To find the z-score, use below z-score formula.

z = (x – μ )/σ

Use the input parameters in the z-score formula

z = (68-71)/4

z = -0.75

The Z-score value is negative, hence we will use the negative z-score table to find the area.

Negative z-score chart
Negative z-score chart

Using the above negative standard normal distribution table, the area for a negative z-score value of -0.75 is 0.2266 as marked in yellow color.

The corresponding area for z-score -0.75 is 0.2266 which is 22.66%

Conclusion

I hope the above article on how to use a negative z-score table with an example is helpful to you.

You can find more topics about Z-Score and how to calculate the z score given the area on the ZScoreGeek home page.

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