Analyze Data
Name: ______Date: ______
1. Find the mean of the data set of even numbers between 1-10.
2. Find the mean of the data set of odd numbers between 1-10.
3. Given the following histogram, how can we describe the shape of the data?
a. Skewed Right b. Skewed Left
c. Symmetric d. Constant
4. The following table gives the math scores of 10 friends. If the score of the outlier is NOT included, what is the mean score?
a. 35.1%b. 39%
c. 44.4%d. 49.3%
5. Given the data points 18, 14, 12, 14, 11, 11, 19, 20, 16, and 11, which values would be considered outliers?
a. Outliers must be less than 4 or greater than 25.
b. Outliers must be less than 11 or greater than 18.
c. Outliers must be less than 11 or greater than 20.
d. Outliers must be less than 0.5 or greater than 28.5.
6. Sam recorded the following grades in her end of year exams. If the outlier was not included, by how much was her mean grade increased by?
a. By 4 percentage points.
b. By 4.5 percentage points.
c. By 5 percentage points.
d. By 5.14 percentage points.
e. By 0 percentage points.
7. The time it takes for 20 people to complete a puzzle were recorded to the nearest minute as follows: 23, 27, 24, 18, 20, 25, 58, 23, 27, 19, 20, 25, 23, 22, 26, 26, 23, 19, 21, 26. By how much is the mean decreased if the outlier is not included?
a. 1.75 minutesb. 2.25 minutes
c. 2.9 minutesd. 5.8 minutes
8. The median price of a home in your neighborhood is $212,000. One fourth of the homes are less than $200,000 and one fourth are greater than $238,000. Which of the following home prices would be considered an unusually good deal?
a. Anything less than $186,000b. Anything less than $212,000
c. Anything less than $173,000d. Anything less than $134,000
9. A study of family incomes included 300 randomly selected families. The mean family income is $55,000; the median is $45,000; and the highest and lowest incomes are $250,000 and $2,400, respectively. Draw a rough sketch of the income distribution, with clearly labeled axes. Describe the distribution as symmetric, left-skewed, or right-skewed.
10. The following data was obtained from the census website. Data on the household income for approximately 121 million households were collected. The mean income for this data set is $69,677.
a. Is the histogram symmetric, left skewed or right skewed?
b. Is the histogram unimodal, bimodal, or multimodal?
c. Approximately how many households made more than $50,000? What does this tell you about the median income?
d. Is the mean income for 2011 higher or lower than the median income?
Directions: Use the following information to answer questions 11 - 13. A class of 30 students documented their heights in centimeters.
11. Write the numbers in order from least to greatest.
12. Lowest Number: _____ Q1: _____ Q2: _____
Q3: _____ Highest Number: _____
13. Are there any outliers in the data set above? Show your work to identify the lower limit and the upper limit on outliers.