Unit 11 Mock Test

Determine if the statement is a statistical question or not a statistical question generating numerical data: "What was the amount of money earned by best-selling single in 2022?"

• Statistical Question with Numerical Data

• Not a Statistical Question with Numerical Data

Answer explanation

It is not statistical because it only has one answer to the question. Statistical questions have various answers.

Determine if the statement is a statistical question or not a statistical question generating numerical data: "How many minutes of music do students listen to on average?"

• Statistical Question with Numerical Data

• Not a Statistical Question with Numerical Data

Answer explanation

This is statstical because it has various answers. The answers can be pulled as data to then organize and analyze.

Below are six nightly temperatures recorded. What is the mean of the temperatures?

{53, 55, 56, 63, 65, 68}

• 59.5

• 15

• 60

• 65

Answer explanation

Mean is average. To find it, you have to add up all of the numbers and divide it by how many numbers you have.

The scores from the last 10 hockey games at Tanner High School are listed below. What is the median score? {3, 2, 4, 2, 5, 1, 3, 4, 1, 2}

• 2

• 2.5

• 3

• 2.7

Answer explanation

Median is the middle number when the numbers are listed from least to greatest.

You needed to first order the numbers from least to greatest and then find the middle number.

It was between two numbers, so you had to find the average between those numbers to see what number is directly between the two.

The median score represents the __Blank 1__. It provides a measure of __Blank 2__ that is __Blank 3__ affected by outliers than the mean.

• Blank 1: score in the middle of all the scores when listed from least to greatest, Blank 2: center, Blank 3: less

• Blank 1: average of all scores, Blank 2: spread, Blank 3: more

• Blank 1: highest score, Blank 2: variability, Blank 3: equally

• Blank 1: lowest score, Blank 2: range, Blank 3: more

The number of pets owned by students in Victoria’s class is shown. Select a number and phrase that represents the mode. The mode of the data is Blank 1 and it describes Blank 2 the data. Table showing the number of pets: 2, 3, 0, 0, 3, 0, 2, 1, 2, 2, 0, 1, 0, 2

• Blank 1: 0, Blank 2: the spread of

• Blank 1: 1, Blank 2: the middle of

• Blank 1: 2 and 0, Blank 2: the value most often in

• Blank 1: 1 and 2, Blank 2: the maximum value of

Answer explanation

MOde is what occurs the MOst. It's okay for there to be two modes.

Below are the average weekly minutes spent practicing math for a group of ten students. Use the range and median to determine the missing numbers in the ordered data set. Ordered data set: {___, 11, 22, 28, ___, 36, 44, 50, 53, 61} Range: 56 minutes Median: 34 minutes

• Blank 1: 9, Blank 2: 29

• Blank 1: 14, Blank 2: 31

• Blank 1: 5, Blank 2: 32

• Blank 1: 24, Blank 2: 36

Answer explanation

To find the missing minimum, take the maximum and subtract the range.

To find the missing median, take the median, multiply it by 2 and subtract the other number you were between for median (in this case, 36).

Zillow reported that the avergage house price in a certain area was $411,000. Home prices in an area are commonly reported with the median as measure of center and range as measure a variability, which statement is true?

• Mean and interquartile range are used when there are no outliers.

• Median and interquartile range both need to be used when there are no outliers in the data.

• Median and interquartile range are the measure of center and variability used for data sets with outliers.

• Mean and range are good statistical data measures when the data set has an outlier.

Answer explanation

When there are outliers:

Use median for measure of center.

Use interquartile range for measure of variability.

When there are NOT outliers:

Use mean for measure of center.

Use range for measure of variablilty.

The results from the last math test, in percentages, are listed below.

Jill comes back from vacation and scores a 27%.

Including Jill’s score, which measure of variation should be used to best summarize how the students did on the test?

Test scores: {64, 99, 73, 100, 86, 72, 86, 68, 65, 79, 65, 75, 91, 89, 75, 65}

• Mean

• Interquartile range

• Median

• Range

Answer explanation

It specifically asks for measure of variation which includes range and IQR. Because Jill's score (outlier) would make the range look a lot more spread than it really is, IQR is more appropriate. It only measures the spread of the middle 50% of the data, elimiating outliers.

If the question had asked "which measure of center would be best to summarize how her students did on the test", the answer would be 'median' because of the outlier. It is less impacted than the mean would be.

When a low outlier is removed from a data set and not replaced, what is true about the outlier's influence on the measures of center and how they change?

• The mean decreases, and the median stays the same.

• The mean increases, and the median increases.

• The mean stays the same, and the median increases.

• The mean decreases, and the median decreases.

Answer explanation

Here is an example using the data set 1, 10, 11, 12, 13, 13.

The mean would be 10.

The median would be 11.5

If I took out the 1 (outlier) it would leave me with

10, 11, 12, 13, 13.

The mean would be 11.8 (increasing from 10)

The median would be 12 (increasing from 11.5)