Question

a professor asked his introductory statistics students to state how many siblings they have. the responses are shown in the table to the right. use single - value grouping to complete parts (a) through (d).
2 3 2 2 4
1 2 1 2 2
1 0 1 0 1
3 2 1 3 2
a. determine a frequency distribution.
number of siblings | frequency
0
1
2
3
4
b. construct a frequency histogram based on your result from part (a). choose the correct histogram below.
a.
frequency
10
5
0
0 1 2 3 4
number of siblings
b.
frequency
10
5
0
0 1 2 3 4
number of siblings
c.
frequency
10
5
0
0 1 2 3 4
number of siblings

Explanation:

Step1: Count responses for each sibling number

First, list all responses: 2, 3, 2, 2, 4, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 3, 2, 1, 3, 2.
Count 0s: 2 (from "0, 0").
Count 1s: 5 (from "1,1,1,1,1").
Count 2s: 9 (from "2,2,2,2,2,2,2,2,2").
Count 3s: 3 (from "3,3,3").
Count 4s: 1 (from "4").

Step2: Complete frequency distribution

Fill the table:

• 0: 2
• 1: 5
• 2: 9
• 3: 3
• 4: 1

Step3: Analyze histogram (part b)

From part (a), frequencies are 0:2, 1:5, 2:9, 3:3, 4:1.
Check histograms:

• Option B: Bars for 0 (2), 1 (5), 2 (9), 3 (3), 4 (1) match.

Answer:

(part a):

Number of Siblings	Frequency
1	5
2	9
3	3
4	1