Univariate Data Descriptors

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AP Statistics › Univariate Data Descriptors

Questions 1 - 10
1

Find the Interquartile Range (IQR) for the following data.

Q1 = 2, Q3 = 6

IQR = Q3 - Q1 = 4

Explanation

The Interquartile Range equation is Q3-Q1

First, make sure the data is in ascending order. Then split the data up so that it each quartile has 25% of the data, or think of it as splitting the data into 4 equal parts.

  • is the "middle" value in the first half of the rank-ordered data set.
  • is the median value in the overall set.
  • is the "middle" value in the second half of the rank-ordered data set.

2

Find the Interquartile Range (IQR) for the following data.

Q1 = 2, Q3 = 6

IQR = Q3 - Q1 = 4

Explanation

The Interquartile Range equation is Q3-Q1

First, make sure the data is in ascending order. Then split the data up so that it each quartile has 25% of the data, or think of it as splitting the data into 4 equal parts.

  • is the "middle" value in the first half of the rank-ordered data set.
  • is the median value in the overall set.
  • is the "middle" value in the second half of the rank-ordered data set.

3

Find the interquartile range for the following data set:

Explanation

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 11.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

the median is 6

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

the median is 22.

The interquartile range is just Q3 - Q1, in this case

4

Find the interquartile range for the following data set:

Explanation

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 11.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

the median is 6

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

the median is 22.

The interquartile range is just Q3 - Q1, in this case

5

Find the interquartile range for the following data set:

Explanation

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 15.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

the median is 6, found by taking the mean of the middle two numbers 5 and 7.

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

the median is 22.5, found by taking the mean of the middle two numbers 22 and 23.

The interquartile range is just Q3 - Q1, in this case

6

Find the interquartile range for the following data set:

Explanation

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 15.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

the median is 6, found by taking the mean of the middle two numbers 5 and 7.

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

the median is 22.5, found by taking the mean of the middle two numbers 22 and 23.

The interquartile range is just Q3 - Q1, in this case

7

A sample consists of the following observations:. What is the mean?

Explanation

The mean is

8

A sample consists of the following observations:. What is the mean?

Explanation

The mean is

9

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the mean value of the six homes?

Explanation

The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group. In this case, six homes are for sale. The six home values are added together , then that value is divided by six.

10

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the mean value of the six homes?

Explanation

The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group. In this case, six homes are for sale. The six home values are added together , then that value is divided by six.

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