Applied Statistics
Applied Statistics
Applied Statistics
In this activity you will collect data and then perform statistical analyses to determine
measures of central tendency and variation of the data. You will also represent the
data using a histogram.
Equipment
Engineering notebook
Pencil
Dial caliper
Procedure
1. Part of the manufacturing quality control testing for a toy is to measure the depth
of a connector piece that must fit into another part. The designed depth is 4.1 cm.
Every tenth part produced on the production line is measured. The following data
was collected during a two minute production period.
5.1, 5.1, 5.0,5.1, 4.9, 5.4, 4.9, 5.3, 5.0, 5.2, 5.0, 4.8
a. Calculate each of the following measures of central tendency. Show your
work. (2pts)
Mean: ____60.8/12= 5.066 added all numbers and divided by
12_________
Median: __4.9+5.4/2 = 5.15__________ 2 middle numbers
Mode: _____5.0 & 5.1________ are most common numbers
b. Calculate each of the following measures of variation for the data set.
Show your work. A table has been provided to help you calculate the
standard deviations. In the table round values in the last two columns to
four decimal places. Report the standard deviation statistics to four
decimal places. (2pts)
Range: ________5.4-4.8 = 0.6_____
x x-µ (x - µ)2
4.8
4.9
4.9
5.0
5.0
5.0
5.1
5.1
5.1
5.2
5.3
5.4
SUM