Test 5 9 The following frequency histogram presents the weig

Test 5

9. The following frequency histogram presents the weights in pounds (lbs) of 50 visitors to a health clinic. Answer the following questions based on this graph. Weights of Clinic Visitors a) How many visitors weigh more than 160 pounds? b) What percent of visitors weigh less than 140 pounds? c) How many visitors weigh at most 170 pounds? d) In what range of weights does the median of the distribution lie? e) Describe the shape of this distribution.

Solution

given Histogram

A) we have to find the number of visitors weigh more than 160

since

classes in which weigh are more than 160 are 160-170,170-180,180-190,190-200

and each have frequency 14,6,3,3 respectively

so number of visitors are 14+6+3+3=26

B) we have to find % of visitors which has weight less than 140

so

from histogram

total number of visitors has weigh less than 140 are

1+3+3+4=11

so

% is    11*100/50 =22%

C)we have to find number of visitors has at most weigh 170 pounds

then from histogram

no.of visitors are

1+3+3+4+7+6+14=38

D) we have to find the class in which median is lies

since median is lies in that class whose cumulative frequecny is greater than or equal to half of the sum of frequencies

so

C.F of class are

class 100-110     110-120    120-130   130-140 140-150   150-160   160-170 170-180 180-190 190-200

CF       1                 4             7            11          18             24             38          44         47         50

since        50/2=25

so                    160-170 is median class

E)    non symmetric