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IFoA_CAA_M0 Exam - Topic 9 Question 83 Discussion

The table below shows the distribution of the number of people in each household in a village.Determine which of the following inequalities is true for the number of people living in a house.
A) Mode < Median < Mean
B) Mode < Mean < Median
C) Median < Mean < Mode
D) Median < Mode < Mean

IFoA_CAA_M0 Exam - Topic 9 Question 83 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam
Question #: 83
Topic #: 9
[All IFoA_CAA_M0 Questions]

The table below shows the distribution of the number of people in each household in a village.

Determine which of the following inequalities is true for the number of people living in a house.

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Suggested Answer: A

by Ruth at Apr 05, 2025, 12:46 AM

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Sommer
7 months ago
Median is often in the middle, so D could be true too!
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Raylene
7 months ago
I think A is correct! Makes sense to me.
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Zena
7 months ago
Not so sure about that, B seems more likely.
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Glory
7 months ago
Wait, how can the mean be less than the mode? That sounds off.
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Verona
8 months ago
The mode is usually the most common, right?
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Sharita
8 months ago
I vaguely remember that in a positively skewed distribution, the mean is greater than the median. So maybe option A could be correct?
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Flo
8 months ago
I feel like the median is usually in the middle, but I can't recall if it’s always less than the mean. This is tricky!
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Sheron
8 months ago
I think we practiced a similar question where the mean was greater than the median. I might lean towards option B, but I’m not completely confident.
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Stephaine
9 months ago
I remember we discussed how the mode is often less than the median in skewed distributions, but I'm not sure about the mean.
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Malinda
9 months ago
No problem, I've got this. The mode is the most frequent value, the median is the middle value, and the mean is the average. I just need to plug those into the inequalities and select the right one.
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Martina
9 months ago
Okay, I think I've got this. I'll start by sorting the data and finding the median, then calculate the mean and mode to see which inequality holds true.
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Eden
9 months ago
Hmm, I'm a bit unsure about how to approach this. I'll need to review my notes on measures of central tendency to make sure I'm calculating them correctly.
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Truman
9 months ago
This looks like a straightforward statistics problem. I'll need to calculate the mode, median, and mean from the given data to determine which inequality is true.
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Kristin
1 year ago
Hmm, this is a tricky one. I'm going to have to put on my thinking cap and crunch some numbers. Wait, is that a calculator in my pocket or am I just happy to see this question?
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Phung
1 year ago
I'm leaning towards A) Mode < Median < Mean.
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Georgene
1 year ago
I believe it's D) Median < Mode < Mean.
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Gracia
1 year ago
I think the answer is C) Median < Mean < Mode.
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Shaun
1 year ago
Lol, this is like a statistics party in here. I'm just going to pick C and hope the party favor is a calculator.
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Ben
1 year ago
Fingers crossed for that calculator! C is definitely the way to go.
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Sharee
1 year ago
I agree, C is the best option. Let's hope for that calculator party favor!
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Almeta
1 year ago
Yeah, C seems to be the right choice. Statistics can be tricky sometimes.
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Benedict
1 year ago
I think C is correct too. It's all about that median, mean, and mode.
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Angelica
1 year ago
D. Median < Mode < Mean. This makes the most sense to me based on the information provided. The mode is the most common household size, the median is the middle value, and the mean is pulled up by the larger households.
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Laurel
1 year ago
It's important to consider the distribution of household sizes when determining the order of mode, median, and mean.
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Kimbery
1 year ago
I agree, the mode being less than the median and the median being less than the mean seems logical.
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Dorothea
1 year ago
I think you're right, D does seem to make the most sense based on the data.
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Pamella
1 year ago
I'm not sure about this one. The distribution seems a bit complicated, but I'm leaning towards C. Median < Mean < Mode. The median should be in the middle, with the mean a bit higher and the mode being the highest.
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Amber
1 year ago
I agree with you, C seems to be the most logical choice based on the distribution.
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Tabetha
1 year ago
I'm not sure, but I think the mode is the most common number, so D might be correct.
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Tanja
1 year ago
I think you're right. The median is usually in the middle, so C makes sense.
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Wynell
1 year ago
Yes, that's correct. The mode is the most frequent number of people in a household, followed by the mean and then the median.
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Benton
1 year ago
I agree. The mode is the highest value, followed by the mean, and then the median in the middle.
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Walker
1 year ago
I think you're right. C) Median < Mean < Mode seems to make sense based on the distribution.
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Marva
1 year ago
I think the answer is B. Mode < Mean < Median. The distribution shows more households have fewer people, so the mode should be less than the mean, which should be less than the median.
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Adell
1 year ago
Why do you think that? Can you explain your reasoning?
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Graciela
1 year ago
I disagree, I believe the answer is C) Median < Mean < Mode.
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Adell
1 year ago
I think the answer is A) Mode < Median < Mean.
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