Data Analysis & Probability M7D1.b Construct frequency distributions.

Words to Know Frequency distribution: a table that organizes data to show how many times each item or group of items appears. (May also be called frequency table.)

Practice 1 Twenty-five students were asked to name their favorite singer/music group/rapper. The results are as follows: Kesha, Lil’ Wayne, Lady Gaga, Lil’ Wayne, Eminem, Kesha, Eminem, Lady Gaga, Lil’ Wayne, Eminem, Justin Bieber, Lady Gaga, Lil’ Wayne, Lil’ Wayne, Eminem, Justin Bieber, Kesha, Eminem, Eminem, Eminem, Eminem, Kesha, Eminem, Lil’ Wayne, Lil’ Wayne Construct a frequency distribution using the data provided. ◦W◦We need to determine what our table should look like. IIt should have two columns; one for singer and one for frequency IIt should have 6 rows; the top row for the lables “singer” and “frequency” and each of the following rows should have a singer name on the left and the frequency on the right. ◦O◦Once we do that, we can organize the data.

What our table should look like. SingerFrequency Eminem9 Justin Bieber2 Kesha4 Lady Gaga3 Lil’ Wayne7

Practice 2 Sometimes data is grouped into categories before it is organized into a frequency distribution. 30 teachers were asked to name as many bands/singers/rappers as they could think of that their students listened to. Here is the number of bands 30 teachers could name. 0, 0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 7, 8, 9, 10, 10, 10, 10, 10, 13, 14, 17, 18 Construct a frequency distribution, but first group the data into categories. ◦Categories will be  Number who could name 0 – 3.  Number who could name 4 – 7.  Number who could name 8 – 11.  Number who could name 12 – 15.  Number who could name 16 – 19. Remember to determine who many columns and rows we are going to need for our table!!

What our table should look like. Number of bands/singers/rappers named. Number of adults. 0 – – 77 8 – – – 192

Practice people were asked to name where they would go on their dream vacation. Their answers are shown in the frequency table below. Which percent chose Hawai’i? Which percent chose Venice? Which percent chose New York City? Which percent chose Paris? Dream Vacation DestinationNumber of People Hawai’i, United States70 New York City, United States30 Paris, France60 Venice, Italy40 35% 20% 15% 30%