4C

Employee Monthly Salary in January

(in thousands of dollars)

Employee 1 4
Employee 2 6
Employee 3 3
Employee 4 5
Employee 5 6
Employee 6 3
Employee Monthly Salary in February

(in thousands of dollars)

Employee 1 4
Employee 2 8
Employee 3 3
Employee 4 5
Employee 5 6
Employee 6 3
Episode Number Episode Title Air Date U.S. Viewers (Millions)
1 The One After Joey and Rachel Kiss 9/25/03 24.54
2 The One Where Ross Is Fine 10/2/03 22.38
3 The One with Ross’s Tan 10/9/03 21.87
4 The One with the Cake 10/23/03 18.77
5 The One Where Rachel’s Sister Babysits 10/30/03 19.37
6 The One with Ross’s Grant 11/6/03 20.38
7 The One with the Home Study 11/13/03 20.21
8 The One with the Late Thanksgiving 11/20/03 20.66
9 The One with the Birth Mother 1/8/04 25.49
10 The One Where Chandler Gets Caught 1/15/04 26.68
11 The One Where the Stripper Cries 2/5/04 24.91
12 The One with Phoebe’s Wedding 2/12/04 25.9
13 The One Where Joey Speaks French 2/19/04 24.27
14 The One with Princess Consuela 2/26/04 22.83
15 The One Where Estelle Dies 4/22/04 22.64
16 The One with Rachel’s Going Away Party 4/29/04 24.51
17 The Last One 5/6/04 52.46
18 The Last One 5/6/04 52.46

A histogram labeled "US Viewers (Millions)" on the x-axis and "Count" on the y-axis. The x-axis is numbered in increments of five from 15 to 55 and the y-axis is numbered in increments of 1 from 0 to 4. For 18-19, the count is 1. For 19-20, the count is 1. For 20-21, the count is 3. For 21-22, the count is 1. For 22-23, the count is 3. For 24-25, the count is 4. For 25-26, the count is 2. For 26-27, the count is 1. For 52-53, the count is 2. For all other ranges, the count is 0.

Plot Distribution Mean and Median
An unlabeled bar graph. The bar is the center is the highest and going either direction away from it, the bars get shorter by equal increments.

Credit: Skew the Script

a) Left-skewed

b) Symmetric

c) Right-skewed

The mean is ________ the median.

a) greater than

b) less than

c) roughly equal to

An unlabeled bar graph with seven bars. The bar on the far left is the highest. Moving to the right, each bar is progressively shorter than the last. In most places, this is by approximately the same amount, but it is a larger difference between the third and fourth bars. a) Left-skewed

b) Symmetric

c) Right-skewed

The mean is ________ the median.

a) greater than

b) less than

c) roughly equal to

An unlabeled bar graph with seven bars. The bar on the far right is the highest. Moving from the left, each bar is progressively taller than the last. In most places, this is by approximately the same amount, but it is a larger difference between the fourth and fifth bars. a) Left-skewed

b) Symmetric

c) Right-skewed

The mean is ________ the median.

a) greater than

b) less than

c) roughly equal to

Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Calculate the median of a dataset. 1, Part A
Calculate the mean of a dataset. 2, Part A
Interpret the median of a dataset. 1, Part B
Interpret the mean of a dataset. 2, Part B
Use the terms “left skewed,” “right skewed,” “symmetric,” and “outlier” to describe the features of a dataset. 4, Part A

7, 8

Make connections between the distribution of a dataset and how the mean and median relate. 3–7

Lots of hundred dollars bills in a fan shape held in front of someone A dotplot labeled "Texas Player Salaries ($)," numbered in increments of 5 million from 0 to 25 million. There are several high stacks of dots between 0 and 5 million. Above 5 million, there is only one stack and it has two dots. There are also several individual dots. One dot near 0 is labeled "Chris Johnson: $25,000." Another dot is labeled "Chris Paul: $24,599,495." One more dot is labeled "James Harden: $28,299,399."Glossary

right-skewed (positive skew)
most of the data is bunched up to the left of the graph with a “tail” of infrequent values on the right (upper) end of the distribution.
symmetric
a distribution where the values are similarly distributed on either side of the mean/median.
left-skewed (negative skew)
most of the data is bunched up to the right of the graph with a “tail” of infrequent values on the left (lower) end of the distribution.
resistant
not affected by the skewness of a graph.
outlier
an unusual or extreme value, given the other values in the dataset.