Question

Name: KDonovan Course: MATH 1109 Assignment 1 PART I (to be done by hand) 1. Below is a histogram of the shear strengths (in pounds per weld) for 94 samples of a certain material MTB GStd. MTB >Histogram ci. Character Histogram Histogram of C1 N 94 Midpoint Count (a) Comment on the shape of the histogram. (b) What class width is used in the histogram? (c) Find the class boundaries of the 3h class. 138 140 142 144 146 148 150 152 154 156 158 160 162 164 10 d) Find the percentage of samples whose shear strength is below 143 pounds per weld. 21 **

Answer 1

1)

a)

The shape of the histogram appears to be similar to a bell curve hence it seems that is follows a normal distribution.

b)

Class width of 2 units is used.

c)

Class boundaries of 3^rd class: {142,144}

d)

Percentage = 3/94 = 0.032 or 3.2%

PS: We are only allowed to answer 4 parts per question.