Question

A firm wants to establish how long it is supposed to take to assemble a certain product.

A random sample of 13 employees is selected and the company measures how long it takes each of them to assemble the product rounded to the nearest minute.

Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15

Solve the following by hand.

You must show your work including the formulas and all your computations.

3. The mean is: _______

4. The median is: _____

5. The mode is: ______

6. The first quartile is: ____

7. The third quartile is: ____

8. The range is: ______

9. The IQR is: ______

Answer 1

3)
Mean = Sum of all number/ Total number

= 301/13
= 23.1538

4)
Arrange the data in ascending order

5,9,11,14,15,16,19,22,25,30,45,45,45

Median is the middle number of the data

Median = 19

5)

Mode is the most repeated number of the data

Mode= 45

6)

First quartile is the first half of the data

5 , 9 , 11 , 14 , 15 , 16

first quartile = (11+14)/2 = 12.5

7)

Third quartile

22, 25 , 30 , 45 , 45 , 45

Third quartile = ( 30 + 45) / 2 = 32.5

8)

Range = (Upper - lower ) value
= ( 45 - 5) = 40

9)

The IQR = Q3 - Q1
= 32.5 - 12.5 = 20