Chapter 7 - Statistics

Question 1

Box and Whisker Plot

Answer 1

A diagram that summarizes data using the median, the upper and lowers quartiles, and the extreme values (minimum and maximum). Box and whisker plots are also known as box plots. It is constructed from the five-number summary of the data: Minimum, Q1 (lower quartile), Q2 (median), Q3 (upper quartile), Maximum.

Question 2

Dot Plot

Answer 2

A method of visually displaying a distribution of data values where each value is shown as a dot above a number line. (A dot plot is a type of line plot that uses dots instead of “x’s” to show the frequency of values.)

Question 3

Frequency

Answer 3

The number of times an item, number, or event occurs in a set of data.

Question 4

Histogram

Answer 4

A way of displaying numeric data using horizontal or vertical bars so that the height or length of the bars indicates frequency.

Question 5

Inter-Quartile Range (IQR)

Answer 5

The difference between the first and third quartiles. (Note that the first quartile and third quartiles are sometimes called upper and lower quartiles.)

Question 6

Maximum Value

Answer 6

The largest value in a set of data.

Question 7

Mean Absolute Deviation

Answer 7

The average distance of each data value from the mean. The MAD is a gauge of “on average” how different the data values are from the mean value.

Question 8

Mean

Answer 8

The “average” or “fair share” value for the data. The mean is also the balance point of the corresponding data distribution.

Arithmetic Mean= x= x1+x2+x3+x4…….xn
_______________
n

Question 9

Measures of Center

Answer 9

The mean and the median are both ways to measure the center for a set of data.

Question 10

Measures of Variation (Spread)

Answer 10

The range and the Mean Absolute Deviation are both common ways to measure the spread for a set of data.

Question 11

Median

Answer 11

The value for which half the numbers are larger and half are smaller. If there are two middle numbers, the median is the arithmetic mean of the two middle numbers. Note: The median is a good choice to represent the center of a distribution when the distribution is skewed or outliers are present.

Question 12

Minimum value

Answer 12

The smallest value in a set of data.

Question 13

Mode

Answer 13

The number that occurs the most often in a list. There can be more than one mode, or no mode.

Question 14

Outlier

Answer 14

A value that is very far away from most of the values in a data set.

Question 15

Population

Answer 15

A group about which information is desired.

Question 16

Quartile

Answer 16

When data in a set are arranged in order, quartiles are the numbers that split the data into quarters (or fourths).

Question 17

Range

Answer 17

A measure of spread for a set of data. To find the range, subtract the smallest value from the largest value in a set of data.

Question 18

Statistical or Non-Statistical:

How old are the students in my school?

Answer 18

Statistical

Question 19

Statistical or Non-Statistical:

How old am I?

Answer 19

Non-Statistical

Question 20

Statistical or Non-Statistical:

How many pets do I own?

Answer 20

Non-Statistical

Question 21

Statistical or Non-Statistical:

How many pets are owned by each student in my grade level?

Answer 21

Statistical

Question 22

Statistical or Non-Statistical:

What is my math test score?

Answer 22

Non - Statistical

Question 23

Statistical or Non-Statistical:

How many cupcakes of each type were made at the bakery in a week?

Answer 23

Statistical

Question 24

Statistical or Non-Statistical:

What is my height?

Answer 24

Non-Statistical

Question 25

Statistical or Non-Statistical: What is my favorite type of cupcake?

Answer 25

Non-Statistical

Question 26

Statistical or Non-Statistical: What is the height of each person in my class?

Answer 26

Statistical

Question 27

Statistical or Non-Statistical: How many letters are in my name?

Answer 27

Non-Statistical

Question 28

Statistical or Non-Statistical: How many letters are in the names of each person in my class?

Answer 28

Statistical

Question 29

Statistical or Non-Statistical: What are the math test scores of the students in my class?

Answer 29

Statistical

Question 30

Statistical or Non-Statistical: Which gum holds it flavor longer?

Answer 30

Statistical

Question 31

Write a statistical question that would help you gather data about the number of miles students at your school walk each week.

Answer 31

How many miles do the students on the Cool Cats’ team walk each week?

Question 32

Coach Peavy is interested in learning about the amount of time players on the team spend practicing each week during the off season. What is a statistical question he can ask the players that will help him collect this data?

Answer 32

How many days a week do the baseball team members at BMS spend practicing during the off season?

Question 33

School sit-up Records: 31 28 30 31 30 Mean_____ Median_____ Mode_____ Range_____

Answer 33

Mean: 30 Median: 30 Mode: 30 & 31 Range: 3

Question 34

Daily Winter Temperature: 45 50 47 52 53 45 51 Mean_____ Median_____ Mode_____ Range_____

Answer 34

Mean: 49 Median: 50 Mode: 45 Range: 8

Question 35

State Number of Counties Illinois 102 Iowa 99 North Carolina 100 Tennessee 95 Virginia 95 Mean_____ Median_____ Mode_____ Range_____

Answer 35

Mean: 98.2 Median: 99 Mode: 95 Range: 7

Question 36

Lars has a score of 89 for each of his first 3 science quizzes. The score on his fourth quiz is 92. What score does he need on his fifth quiz to have an average of 90?

Answer 36

91

Question 37

The prom committee kept count of how many tickets it sold each day during lunch: 12, 32, 36, 41, 22, 47, 51, 33, 37, 49

Answer 37

9

Question 38

For the next two data sets, find the Mean Absolute Deviation a. Data Set 4: 5, 10, 34, 22, 9, 23, 20, 4, 16, 10 b. Data Set 5: 3, 10, 20, 22, 45, 1, 35, 33, 23, 10

Answer 38

a. 7.7 | b. 11.4

Question 39

``` The students in Mr. Harp’s science class took a benchmark last week. The following were the grades on the test: ``` 89, 94, 90, 92, 88, 99, 23, 97, 94, 17 Find the mean, median, mode, range, and mean absolute deviation for the set of data.

Answer 39

``` Mean: 78.3 Median: 91 Mode: 94 Range: 82 MAD: 23.32 ```

Question 40

Which measure of central tendency best represents the classes grades and why?

Answer 40

Median b/c high MAD which means there is an outlier(s) in the data. The mean is not reliable.