Math  /  Data & Statistics

QuestionCompare and interpret the measures to select the data with the least variation. \begin{tabular}{|l|l|l|} \hline Dataset & Mean & Standard Deviation \\ \hline A & 21 & 1.9 \\ \hline B & 29 & 1.41 \\ \hline C & 25 & 1.2 \\ \hline D & 48 & 1.14 \\ \hline \end{tabular} (1 point) Dataset C has a standard deviation of 1.2 and a mean of 25 . Dataset D has a standard deviation of 1.14 and a mean of 48 Dataset B has a standard deviation of 1.41 and a mean of 29. Dataset A has a standard deviation of 1.9 and a mean of 21 .

Studdy Solution

STEP 1

1. We are given four datasets, each with a mean and standard deviation.
2. The dataset with the least variation is the one with the smallest standard deviation.

STEP 2

1. List the standard deviations for each dataset.
2. Compare the standard deviations to determine the smallest one.
3. Identify the dataset corresponding to the smallest standard deviation.

STEP 3

List the standard deviations for each dataset:
- Dataset A: 1.91.9 - Dataset B: 1.411.41 - Dataset C: 1.21.2 - Dataset D: 1.141.14

STEP 4

Compare the standard deviations:
- 1.91.9 (Dataset A) - 1.411.41 (Dataset B) - 1.21.2 (Dataset C) - 1.141.14 (Dataset D)
Identify the smallest standard deviation:
1.14 1.14

STEP 5

The dataset with the smallest standard deviation is Dataset D.
The dataset with the least variation is:
Dataset D \text{Dataset D}

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