Marginal distributions. Give (in percents) the two marginal distributions, for marital status and for income. Do each of your two sets of percents add to exactly 100%? If not, why not?

There are missing details in the question.

I'll solve this by formulating a general question from the above:

The question goes this:

Suppose in a population of 1250, 800 are married, 388 are single, 50 are divorced and 12 are widowed.

Also, there are 721 whose jobs are grade 1, 280 grade 2, 130 grade 3 and 119 grade 4.

Give (in percents) the two marginal distributions, for marital status and for income. Do each of your two sets of percents add to exactly 100%? If not, why not?

Answer:

See Explanation

Step-by-step explanation:

Marginal distribution is calculated by corresponding data divided by overall frequency.

Total Population = 1250

For Marital Status;

Single: 388/1250 = 0.3104 = 31.04%

Married: 800/1250 = 0.64 = 64%

Divorced: 50/1250 = 0.04 = 4%

Widowed: 12/1250 = 0.0096 = 0.96%

For Jobs

Grade 1: 721/1250 = 0.5768 = 57.68%

Grade 2: 280/1250 = 0.224 = 22.4%

Grade 3: 130/1250 = 0.104 = 10.4%

Grade 4: 119/1250 = 0.0952 = 9.52%

Both totals to 100% because the total population is recorded in the question.