Question

Q1.

Find the following for the data shown 7 15 17 23 44 46 49 55 58 70 8689 91 What is the percentile of the data value 55? Use the formula i /(n+1)*100 k. Round to the nearest whole number.

Q2.

During one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In particular, he recorded how many items over the limit each violator placed on the conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7 or more items," not just 7 items.

What is the frequency of times the limit was exceeded by at most 3 items?

ans =

Answer 1

Q.1 Arranging the data into ascending order:

7,15,17,23,44,46,49,55,58,70,86,89,91

There are total n=13 observation, while the data value 55 is at i=8th place.

Therefore the percentile of data value 55 is

p=(8/14)*100

p=57.14

Hence data value 55 is 57th percentile.

Q.2 The frequency of times the limit was exceeded by at most 3 items is nothing but the frequency of times the limit was exceeded by less than or equal to 3 items.

The frequency of times the limit was exceeded by at most 3 items is =5+8+12

=25

The frequency of times the limit was exceeded by at most 3 items is = 25