# Descriptive Statistics

The number of dry cleaning orders picked up at Sunny Fresh Dry Cleaners was sampled over 4 hour periods. Below is the sample:

61 58 67 52 25 64 38 49 51 61 58 61 27 61 58 34

From this data set, compute the sample mean, median, mode and midrange. Compute the 1st quartile and 3rd and interpret their meanings

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#### Solution Preview

Mean: Sum of all the data values/ Total number of data values

= (61+58+.....+34)/16

= 51.5625

Median:

Arranging the given data in ascending order,

25, 27, 34, 38, 49, 51, 52, 58, 58, 58, 61, 61, 61, 61, 64, 67

Number of observations= 16 (even)

When the number of observations (n) is even, the median is given by the mean of the n/2 th observation and (n+1)/2 th observation.

So, in this case, the median will be the mean of the 8th observation and the 9th observation =

958+58)/2=58

Mode:

The mode is that value of the observation, ...

#### Solution Summary

This solution is comprised of detailed explanation and step-by-step calculation of the given problem and provides students with a clear perspective of the underlying concepts.