Question

An instructor in a large lecture class found, at the end of the semester, that the total point distribution in his class was approximately Normal, with a mean of 530 and a standard deviation of 80. About what percent scored between 490 and 590?

30.9% 46.5% 77.3%

Paleontology students went on a dig for fossils. The following data set contains the number of fossils found by a sample of 12 students.

10,13,9,50,16,13,22,18,20,14,19,12

Median: _______ fossils

In my friend's coin purse, I found 12 pennies. The ages, in years, of the pennies obtained by subtracting the year stamped on the coin from 2016 follow.

22, 14, 8, 1, 9, 0, 31, 2, 13, 3, 11, 10

Rounding to the nearest tenth, the mean and median of this distribution (in years) are:

11.3 and 9.5.

10.3 and 9.5.

9.5 and 10.3.

10.3 and 10.5.

Consumer Reports is doing an article comparing refrigerators in their next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top, bottom, or side‑by‑side freezer; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity in cubic feet.

Is "refrigerator capacity" a categorical variable, a quantitative variable, or an individual?

categorical variable

individual

None of the given options are correct.

quantitative variable

Answer 1

1. Here we need to find

As distribution is normal we can convert x to z

2. The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

9   10   12   13   13   14   16   18   19   20   22   50   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

3. Mean value is

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

0   1   2   3   8   9   10   11   13   14   22   31   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Hence correct answer here is

10.3 and 9.5.