Question

Topic: Summarizing Data and Describing Relationships Using Technology

collect quantitative data from the Internet, StatCrunch, and compute summary statistics of your data.

Do this assignment:

Collect 50 or more quantitative data.

a.) Using StatCrunch, compute the following five summary statistics:

1. Sample mean

2. median sample

3. standard deviation

4. range

5. interquartile range (IQR).

b.) Then, construct a histogram. You do not have to construct a histogram with sliders.

Make sure your data set is large enough (50 items).

c.) Then, answer the following two questions:

Looking at your data and the histogram, which measure of central tendency (mean or median) best describes the “center” of the distribution?

Looking at your data and the histogram, which measure (sample standard deviation, range, or interquartile range) best describes the “dispersion” of the distribution?

Answer 1

Part (a)

By using R we can find the following descriptive statistics

i) x=c() ## command to collect data

? =mean(x)

? = 6.433333 i.e mean of the data

med=median(x) i.e median of the data
med= 5

var=var(x)
var= 19.26577
sd=sqrt(var) i.e Standard deviation of sample
sd =4.389279
> r=range(x) i.e range of sample
> r = 21
> IQR=IQR(x) i.e Interquartile range of sample
> IQR =6

Part (b)

Histogram Diagram:-

Part (c)

Fom Histogram we could say that :-

• The mean of the sample best describes the “center” of the distribution.
• Range Describe the dispersion of sample.