TI-84 Calculator Guide for AP Statistics

1. Press STAT → EDIT to access the data editor
2. Enter values in L1, L2, etc.
3. To clear a list, move to the list name, press CLEAR, then ENTER

1. Press STAT → CALC → 1-Var Stats
2. Specify the list (e.g., L1) and optional frequency list
3. Press ENTER to calculate statistics

This gives you the mean (x̄), sum (Σx), sum of squares (Σx²), sample standard deviation (Sx), population standard deviation (σx), number of data points (n), minimum, maximum, and five-number summary.

1. Press 2nd → STAT PLOT (Y=) → select Plot 1, 2, or 3
2. Turn the plot On
3. Select the type of plot:
   • Scatter plot: for two-variable data
   • Line plot: for time series data
   • Histogram: for frequency distributions
   • Box plot: for five-number summaries
4. Specify the lists to use (e.g., L1, L2)
5. Press ZOOM → 9 (ZoomStat) to view the graph

Binomial Probability Mass Function (PMF)

To calculate P(X = k) for X ~ B(n, p):

1. Press 2nd → DISTR (VARS)
2. Select 0:binompdf(
3. Enter parameters: binompdf(n, p, k)
4. Press ENTER

Binomial Cumulative Distribution Function (CDF)

To calculate P(X ≤ k) for X ~ B(n, p):

1. Press 2nd → DISTR (VARS)
2. Select A:binomcdf(
3. Enter parameters: binomcdf(n, p, k)
4. Press ENTER

Normal Cumulative Distribution Function (CDF)

To calculate P(X ≤ x) for X ~ N(μ, σ):

1. Press 2nd → DISTR (VARS)
2. Select 2:normalcdf(
3. Enter parameters: normalcdf(lower bound, upper bound, μ, σ)
4. Press ENTER

For standard normal distribution (Z ~ N(0, 1)), use μ = 0 and σ = 1.

Inverse Normal

To find the value x such that P(X ≤ x) = area for X ~ N(μ, σ):

1. Press 2nd → DISTR (VARS)
2. Select 3:invNorm(
3. Enter parameters: invNorm(area, μ, σ)
4. Press ENTER

Z-Interval (σ known)

1. Press STAT → TESTS
2. Select 7:ZInterval
3. Choose Stats or Data input method
4. Enter the required values:
   • σ: population standard deviation
   • x̄: sample mean (if using Stats)
   • n: sample size (if using Stats)
   • List: data list (if using Data)
   • Freq: frequency list (if using Data)
   • C-Level: confidence level (e.g., 0.95 for 95%)
5. Select Calculate and press ENTER

T-Interval (σ unknown)

1. Press STAT → TESTS
2. Select 8:TInterval
3. Choose Stats or Data input method
4. Enter the required values:
   • x̄: sample mean (if using Stats)
   • Sx: sample standard deviation (if using Stats)
   • n: sample size (if using Stats)
   • List: data list (if using Data)
   • Freq: frequency list (if using Data)
   • C-Level: confidence level (e.g., 0.95 for 95%)
5. Select Calculate and press ENTER

1. Press STAT → TESTS
2. Select A:1-PropZInt
3. Enter the required values:
   • x: number of successes
   • n: sample size
   • C-Level: confidence level (e.g., 0.95 for 95%)
4. Select Calculate and press ENTER

2-Sample Z-Interval (σ₁ and σ₂ known)

1. Press STAT → TESTS
2. Select 9:2-SampZInt
3. Choose Stats or Data input method
4. Enter the required values for both samples
5. Select Calculate and press ENTER

2-Sample T-Interval (σ₁ and σ₂ unknown)

1. Press STAT → TESTS
2. Select 0:2-SampTInt
3. Choose Stats or Data input method
4. Enter the required values for both samples
5. Select whether to pool the variances (usually No)
6. Select Calculate and press ENTER

1. Press STAT → TESTS
2. Select B:2-PropZInt
3. Enter the required values:
   • x₁: number of successes in first sample
   • n₁: size of first sample
   • x₂: number of successes in second sample
   • n₂: size of second sample
   • C-Level: confidence level (e.g., 0.95 for 95%)
4. Select Calculate and press ENTER

Z-Test (σ known)

1. Press STAT → TESTS
2. Select 1:Z-Test
3. Choose Stats or Data input method
4. Enter the required values:
   • μ₀: hypothesized mean
   • σ: population standard deviation
   • x̄: sample mean (if using Stats)
   • n: sample size (if using Stats)
   • List: data list (if using Data)
   • Freq: frequency list (if using Data)
5. Select the alternative hypothesis (≠μ₀, <μ₀, or >μ₀)
6. Select Calculate and press ENTER

T-Test (σ unknown)

1. Press STAT → TESTS
2. Select 2:T-Test
3. Choose Stats or Data input method
4. Enter the required values:
   • μ₀: hypothesized mean
   • x̄: sample mean (if using Stats)
   • Sx: sample standard deviation (if using Stats)
   • n: sample size (if using Stats)
   • List: data list (if using Data)
   • Freq: frequency list (if using Data)
5. Select the alternative hypothesis (≠μ₀, <μ₀, or >μ₀)
6. Select Calculate and press ENTER

1. Press STAT → TESTS
2. Select 5:1-PropZTest
3. Enter the required values:
   • p₀: hypothesized proportion
   • x: number of successes
   • n: sample size
4. Select the alternative hypothesis (≠p₀, p₀)
5. Select Calculate and press ENTER

2-Sample Z-Test (σ₁ and σ₂ known)

1. Press STAT → TESTS
2. Select 3:2-SampZTest
3. Choose Stats or Data input method
4. Enter the required values for both samples
5. Select the alternative hypothesis (≠0, <0, or >0)
6. Select Calculate and press ENTER

2-Sample T-Test (σ₁ and σ₂ unknown)

1. Press STAT → TESTS
2. Select 4:2-SampTTest
3. Choose Stats or Data input method
4. Enter the required values for both samples
5. Select whether to pool the variances (usually No)
6. Select the alternative hypothesis (≠0, <0, or >0)
7. Select Calculate and press ENTER

1. Press STAT → TESTS
2. Select 6:2-PropZTest
3. Enter the required values:
   • x₁: number of successes in first sample
   • n₁: size of first sample
   • x₂: number of successes in second sample
   • n₂: size of second sample
4. Select the alternative hypothesis (≠0, <0, or >0)
5. Select Calculate and press ENTER

1. Press STAT → TESTS
2. Select C:χ²-Test
3. Enter the observed counts in matrix A
4. Enter the expected counts in matrix B (for goodness of fit test) or select Calculate (for independence/homogeneity test)
5. Press ENTER

To create a matrix:

1. Press 2nd → MATRIX
2. Select EDIT
3. Choose a matrix (e.g., [A])
4. Enter the dimensions (rows × columns)
5. Enter the values

1. Enter the x-values in L1 and y-values in L2
2. Press STAT → CALC
3. Select 8:LinReg(a+bx)
4. Specify the lists: LinReg(a+bx) L1,L2
5. To store the regression equation, add ,Y1 at the end
6. Press ENTER

This gives you the slope (b), y-intercept (a), correlation coefficient (r), and coefficient of determination (r²).

1. After performing linear regression, press STAT → CALC → 8:LinReg(a+bx) again
2. Add ,Y1 at the end to store the regression equation
3. Press ENTER
4. Press STAT → EDIT
5. Move to the heading of L3
6. Enter L2-Y1(L1) to calculate residuals
7. Press ENTER

To create a residual plot:

1. Press 2nd → STAT PLOT (Y=)
2. Select Plot 1
3. Turn the plot On
4. Select the scatter plot type
5. Set Xlist to L1 and Ylist to L3
6. Press ZOOM → 9 (ZoomStat) to view the residual plot

• ERR:DOMAIN - Input is outside the valid range
• ERR:SYNTAX - Command contains a syntax error
• ERR:DIM MISMATCH - Trying to perform an operation with incompatible dimensions
• ERR:STAT - Statistical calculation with inappropriate data
• ERR:INVALID DIM - Matrix dimensions are invalid

Clearing Memory

1. Press 2nd → MEM (+)
2. Select 2:Mem Mgmt/Del
3. Select the type of data to clear
4. Select items to delete and press DEL

Resetting Defaults

1. Press 2nd → MEM (+)
2. Select 7:Reset
3. Choose 1:All RAM to reset everything or select specific items
4. Select 2:Defaults to reset to factory settings
5. Press ENTER → 2 (Reset) → ENTER

Checking Battery

1. Press 2nd → MEM (+)
2. Select 1:About to view battery status