Question

Home work#4 cont.
Sum#5
The following data give the speeds of 13 cars (in mph) measured by radar, traveling on i-84

73, 75,69,68,78,70,74
76,72,79,68,77,72

Calculate the value of the 35th percentile.
Enter the exact answer in mph.

Sum#6
The following data give the annual salaries (in thousand dollars) of 20 randomly selected health care workers.

50,71,57,39,45,64,38,51,33,62
75,40,69,44,77,61,58,54,64,59

A. Calculate the values of the three quartiles and the interquartile range
Q1
Q2
Q3
IQR

B. Find the approximate value of the 30th percentile.

C. Calculate the percentile rank of 61

Sum #7
Use the table of SAT Mathematics Scores and percentile to answer the following questions:

(A) Someone who scored a 500 was at the = percentile?

(B)            % of people scored between 650 and 700

(C) If you are at the 97th percentile, what was your score?

(D) Approximately, what is the first quartile for SAT scores? The third quartile?

Q1=    Q3=

Score-800, 750, 700, 650 600,550,500,450,400,350,300,250

Mathematics- 99, 97, 94, 85,75,60,44,28,15,7, 2,1

Homework#3
sum#1
The following table lists six pairs of x and y values.

X- 2,14,24,10,11,18
y- 12,6,15,6,11,8

Calculate the Value of the following:€x2y=

Sum#2
Eight randomly selected customers at a local grocery store spent the following amount on groceries in a single visit: $210 $184, $36, $92,$151, $175, $8 and $57. Let y donates the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):

(a) €y
(b) €y2
(c) (€y)2

Answer 1

5)

To calculate the 35th percentile, do the following steps:

1. Order all the values in the data set from smallest to largest.

68,68,69,70,72,72,73,74,75,76,77,78,79

2. Multiply 35th percent by the total number of values, n

0.35 * 13 = .4.55

This number is called the index.

If the index obtained in Step 2 is not a whole number, round it up to the nearest whole number.

So, the number is 5.

3. Count the values in your data set from left to right (from the smallest to the largest value) until you reach the number indicated by Step 3, i.e., 5th.

68,68,69,70,72,72,73,74,75,76,77,78,79

The corresponding value in your data set is the 35th percentile.

Therefore, 72 is our 35th percentile.