Dawnbridge

TI-Nspire CX II field manual for IB Math

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19

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=12.3.24.2.36.4.48.1.5A1
2

Run one-variable statistics: press 4: Statistics1: Stat Calculations1: 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=12.3.24.2.36.4.48.1.5A1
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==OneVar13.TitleOne-Va...22.4.634.Σx4641.Σx²2525sx2.1187B1
Result

The calculator gives xˉ=4.6,  sx2.12,  σx2.01, 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.