Dawnbridge

TI-Nspire CX II field manual for IB Math

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22

Descriptive stats with frequency table

All courses

Enter values in one table column and frequencies in a second column, run one-variable statistics with a frequency list, and read the weighted statistics.

Goal

Find the descriptive statistics for the frequency table with values ​2,  ​4,  ​6,  ​8​ and frequencies ​3,  ​2,  ​4,  ​1.

1

Open a Lists & Spreadsheet page, name the first column x, and enter the values 2, 4, 6, 8. Name the second column f, and enter the matching frequencies 3, 2, 4, 1.

*Document
RAD
AxBfCD=1232423644815A1
2

Run one-variable statistics: press → 4: Statistics → 1: Stat Calculations → 1: One-Variable Statistics. Leave Num of Lists: 1 and press , then between the fields to select x as the X1 list and f as the frequency list.

*Document
RAD
AxBfCD=1232423644815A1
One-Variable Statistics
X1 List:x[]▶
Frequency List:f[]▶
Category List:▶
Include Categories:▶
1st Result Column:c[]▶
OKCancel
3

Press to calculate. The Nspire writes the weighted one-variable summary statistics into the spreadsheet.

*Document
RAD
BfCDE==OneVar13TitleOne-Va...22x̄4.634Σx46.41Σx²252.5sx := sn-1x2.1187B1
Result

The calculator gives ​xˉ=4.6,  ​sx​≈2.12,  ​σx​≈2.01, and ​n=10.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    A frequency table has values ​1,  ​2,  ​3,  ​4​ with frequencies ​5,  ​8,  ​4,  ​3. Find the mean and both standard deviations.

  2. 2

    A frequency table has values ​10,  ​20,  ​30,  ​40,  ​50​ with frequencies ​2,  ​5,  ​8,  ​4,  ​1. Find the mean and both standard deviations.

  3. 3

    A frequency table has values ​0,  ​1,  ​2,  ​3,  ​4​ with frequencies ​6,  ​10,  ​7,  ​4,  ​3. Find the mean and both standard deviations.