Question

Part A: Which data set has a larger standard deviation

A) Data set 1, the data is more spread out

B) Data set 1, there are more data values

C) Data Set 2, the data is less spread out

D) Data set 2, there are more data values


Part B: Which data set will have a smaller interquartile range?


A) Data set 1, the data is more spread out

B) Data set 1, there are more data values

C) Data Set 2, the data is less spread out

D) Data set 2, there are more data values

Answer 1

1. A) the data is more spread out

2. C) the data is less spread out

Explanation:

1) Standard Deviation is a measure of dispersion, denotes the spread of data around measure of central tendency (usually arithematic mean).

A data set with higher standard deviation implies A) Data is more spread out or scattered, & vice versa less spread for less standard deviation.

2) Interquartile range is also a measure of dispersion, denoting difference between Q1 (25th percentile) & Q3 (75th percentile).

A data set with smaller interquartile range implies C) Data is less spread out, & vice versa more spread for higher interquartile range.