Measures of Central Tendency, Dot Plots and Box Plots

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.

• Dot Plot

• Box and Whisker Plot

• Line Plot

• Bar Graph

A statistical chart consisting of data points on a number line, typically using circles.

• Dot Plot

• Box and Whisker Plot

• Line Plot

• Histogram

The “average” or “fair share” value for the data. The mean is also the balance point of the corresponding data distribution. 𝑎𝑟𝑖𝑡ℎ𝑚𝑒𝑡𝑖𝑐 𝑚𝑒𝑎𝑛 = 𝑥̅= 𝑥1 + 𝑥2 + 𝑥3 +∙∙∙ 𝑥𝑛 𝑛

• Mean-

• Median

• Mode

• Range

What is the term that means the middle data value?

• Mean

• Median

• Mode

• Range

A dot plot displays the ages of participants in a local chess tournament. If the mean age is 12 years, which of the following could be the ages of the participants?

• 10, 12, 12, 14

• 11, 12, 12, 13

• 9, 11, 13, 15

• 10, 11, 13, 14

A dot plot shows the number of books read by students in a class during summer break. The numbers are as follows: 3, 3, 4, 5, 5, 5, 6, 7, 7, 8. What is the median number of books read?

• 5

• 5.5

• 6

• 7

The dot plot and histogram represent the same data. If the mean of the histogram is 24.25, how is it different than the mean of the dot plot?

• The mean of the histogram is .17 higher than the mean of the dot plot.

• The mean of the histogram is .17 lower than the mean of the dot plot

• The mean of the histogram and dot plot are the same

• You cannot find mean of the dot plot.

Drag a number to the box to answer the question.

The ​ (a)   is 3.

The ​ (b)   is 6.

The​ (c)   is 11.

The ​ (d)   is 5.

The ​ (e)   is 1.

• quartile 1

• maximum

• range

• median

• minimum

• quartile 3

• IQR

Match the answers to the appropriate label.

• 39

• Upper Quartile

• 65

• Upper Extreme

• 35

• Lower Quartile

• 72

• Lower Extreme

• 58

• Median

Drag a number to the box to answer the question.

The ​ (a)   is 22.

The ​ (b)   is 19.

The​ (c)   is 5.

The ​ (d)   is 17.

The ​ (e)   is 12.

• quartile 1

• maximum

• range

• median

• minimum

• quartile 3

• IQR