Question

The mean amount families spent on groceries per week was $283 The median amount was $300. The shape of the distribution is: A. Left skewed B. Bimodal C. Symmetric D. Right skewed Which description below best fits this distribution? O A. The amounts are evenly distributed B. Most amounts are higher, a few are lower C. Most amounts are lower, a few are higher D. Most amounts are in the middle of the range

Answer 1

First Question
The correct option is A. Left skewed [ANSWER]

Explanation:

We know that the distribution of random variable is left skewed, right skewed or symmetric, depending upon mean and median, as follows:

1. Left skewed when mean < median;

2. Symmetric when mean = median; and

3. Right skewed when mean > median

Here since, mean = $283 < $300 = median, the shape of the distribution is left skewed and the correct option is A.

Option B. is not correct because mean and median do not give any idea about the modality of a distribution.

Option C. is not correct because mean and median are not equal.

Option D. is not correct because mean is not greater than the median.

Second Question
The correct option is B. Most amounts are higher, a few are lower [ANSWER]

Explanation:

We know that:

1. For a left skewed distribution, most of the data points are higher and a few are lower

2. For a right skewed distribution, most of the data points are lower and a few are higher

3. For a symmetric distribution, the number of high and low data points is approximately equal.

Here since, the distribution is left skewed, most of the amounts are higher and a few are lower and the correct option is B.

Option A. is incorrect because the amounts are not evenly distributed, as an evenly distributed random variable is symmetric.

Option C. is incorrect because the distribution is left-skewed, not right-skewed.

Option D. is incorrect because most amount are higher and not in the middle of the range.

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.