Question

In: Statistics and Probability

Problem set 2: use the following table to answer questions 4-7 (40 pts total): # of...

Problem set 2: use the following table to answer questions 4-7 (40 pts total):

# of children	Frequencies
0	472
1	218
2	175
3	320
4	187
5	128
6	47
7	33
8	20
N	1,600

Please find the mean for numbers of children in this distribution (20 pts).

# of children	Frequencies	How many # of children in each category: # of Children * Freq. in each column
0	472	0*472=0
1	218
2	175
3	320
4	187
5	128
6	47
7	33
8	20
Total Categories= 9	Total respondents in this data set is 1,600 (N)	Sum all above= /1600=

5.Please find the median for this distribution (10 pts).

6.Please find the mode for this distribution (5 pts).

7. Is this distribution negatively skewed, symmetrical, or positively skewed (5 pts)?

Expert Solution

# of children x	Frequencies f	f*x	cumulative frequency
0	472	0	472
1	218	218	690
2	175	350	865
3	320	960	1185
4	187	748	1372
5	128	640	1500
6	47	282	1547
7	33	231	1580
8	20	160	1600
Total	1,600	3589

4. Please find the mean for numbers of children in this distribution (20 pts).

=2.2431

5.Please find the median for this distribution (10 pts).

Total n=1600,therefore 1600/2 = 800

Median is average of 800 and 801th observation.

From cumulative frequency, 800 and 801th observations are 2.

Median =2

6.Please find the mode for this distribution (5 pts).

Mode most frequently occurred= 0

Mode=0

7. Is this distribution negatively skewed, symmetrical, or positively skewed (5 pts)?

Mean =2.24, median =2 mode =0

Mean > median >mode.

Since, Mean > median >mode, this distribution is positively skewed.

orchestra answered 2 years ago

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