Question

In: Statistics and Probability

13) Twenty-four workers were surveyed and asked how long it takes them to travel to work...

13) Twenty-four workers were surveyed and asked how long it takes them to travel to work each day. The data below are given in minutes.
20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30 32 48
a) Construct a frequency distribution for the data with 4 classes.
b) Construct a histogram of the data.
c) Describe the distribution type.
d) Construct an ogive for the data.


e) Construct a stem and leaf plot for the data.

Solutions

Expert Solution

a) The frequency table based on the given sample is tabulated as:

b) The histogram for the given sample data is plotted using the software as:

c) Based on the given histogram and the frequency table it can be said that the distribution is skewed as most of the data are in the left of the histogram.

d) The ogive is cumulative frequency line chart which is plotted as:

e) The stem and leaf plot of a data set is used to find the distribution of the data and where stem is used as the ones place value of the digit and leaf is made of the tens place value hence the leaf plot is:


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