Question

Gina's Hours

October November
Week 1 40 32
Week 2 34 30
Week 3
36
40
Week 4
40
24
The table shows the hours Gina worked during October and November. Select ALL correct statements,
A)
The range for the month of October is 6.
B)
40 summarizes the data with a single number
35 summarizes the data with a single number
D)
The median for the month of October is 40.
E
16 describes how the values vary with a single number

Help plz

Answer 1

A) The range for the month of October is 6.

C) 35 summarizes the data with a single number.

E) 16 describes how the values vary with a single number.

Explanation:

Week 1 | 40 Week 1 | 32

Week 2 | 34 Week 2 | 30

Week 3 | 36 Week 3 | 40

Week 4 | 40 Week 4 | 24

The ordered data can be written out as follows :

October :

34, 36, 40, 40

November :

24, 30, 32, 40

Whole data:

24, 30, 32, 34, 36, 40, 40, 40

Range = maximum - minimum :

October range = 40 - 34 = 6

Summarizing the fat with a single number :

Take the median of the whole data :

1/2(n+1)th term

1/2(9) = 4.5 th term

(34 + 36) /2 = 35

Median for October :

(36 + 40) / 2 = 38

Variation of all values :

Take the range :

40 - 24 = 16