36, 21, 27, 24, 54, 28,36, 43, 22, 29, 37, 40, 26, 25, 38, 23, 44, 30, 26, 39, 37, 40, 38, 36, 41, 45, 52, 42, 43, 42, 48, 50, 53
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1 Frequency and Data Distribution - Step-by-Step Lesson A police officer monitored the speed (mph) of the cars in a particular traffic area. 36, 21, 27, 24, 54, 28,36, 43, 22, 29, 37, 40, 26, 25, 38, 23, 44, 30, 26, 39, 37, 40, 38, 36, 41, 45, 52, 42, 43, 42, 48, 50, 53 Prepare a frequency distribution for this data. Explanation: Now we have to distribute the data according to the frequency. Frequency means: The rate at which something is repeated over a particular period of time. For the distribution we have to make the table by distributing the data (speed) into class intervals. speed Tally marks frequency //// //// / //// //// //// //// // // /// 3
2 Frequency and Data Distribution - Guided Lesson Complete the following questions: 1) The students obtain grades out of 80. Draw a bar graph to represent this data ) The grocer measures the weight of mangoes (in grams) Draw a line graph to represent this data ) The students received grades out of 80. Use a frequency distribution to determine the median and mode of the data
3 Frequency and Data Distribution - Guided Lesson Explanation Explanation#1 For drawing the graph, we have to first distribute the data into equal class intervals with the frequency and then we can make a graph. The lowest number is 20 and the highest number is 74, according to these numbers we will make the table. Score Number of students Number of students Score
4 Explanation#2 For drawing the line graph, we have to first distribute in intervals The lowest number is 22 and the highest number is 74, according to these numbers we will make the table. Weight of mangoes Number of mangoes Number of mangoes Weight of mangoes (g)
5 Explanation#3 First distribute the data into a frequency table. The lowest number is 22 and the highest number is 74, according to these numbers we will make the table. Number of marks Tally marks Number of students //// //// /// //// //// //// //// //// / // 2 After making the table we will denote the class interval by x and y to find median and mode. For these types of questions select x and y then input the value like: 22,25,27,28,28,30,31,32,36,37,38,38,39,40,41,42,44,44,45,45,46,47,50,50,51,52,54,54,56,56,57,58,60,60,61,63,65,65,70,74 Median of x and y = = 40+1/2 = 20.5 This means that the number is the average between the 20 th and 21 st position /2 = 45.5 Mode = the most frequent number. These numbers would be the mode :28,38,44,45,50,54,56,60,65 They all appear twice in the set.
6 Frequency and Data Distribution - Independent Practice Worksheet Complete the following questions. 1. Find the mean and mode from the following data:- x Frequency(f) Using the following data, draw a bar graph to represent the monthly income from this data. Income is listed in (dollars) Month income Find the median from the following data:- x Frequency(f) Draw a line graph of students who got the scores out of
7 5. Find the mode from the following data:- x Frequency(f) Draw a line graph according to the height (ft.) of family members. Members height Draw a bar graph of the number of push-ups students could do Draw a bar graph of the temperature in the month of July in New York. Temperature F days From the following data, draw a line graph of hours worked weekly over the last 3 years. Hours Worked weeks Prepare a frequency distribution for the grades; E (excellent), P(poor),G(good) given to the students. E P G E E G E G G G E G E P E P G E G P P G G P G E G
8 Frequency and Data Distribution - Matching Worksheet Match the answers with their correct mode. 1. Find mode with the following data: Find mode with the following data: Find mode with the following data: Find mode with the following data: Find mode with the following data: a. 30 b. 30 c. 2 d. 20 e. 10
9 Name: Date Topic : Creating Frequency Tables- Worksheet 1 Record the data into a frequency table. 1. 6, 5, 6, 9, 4, 5, 9, 8, 8, 6, 4, 2, 7, 8, 2, 4, 8, 1, 1, 1, , 5, 8, 2, 9, 9, 3, 3, 1, 7, 5, 6, 7, 8, 4, 3, 2, , 4, 8, 7, 8, 4, 3, 8, 4, 5, 6, 5, 2, 3, 5, 5, 2, 4, , 4, 6, 7, 9, 2, 4, 1, 6, 2, 2, 3, 1, 6, 5, 3, , 3, 5, 6, 3, 2, 4, 3, 5, 3, 1, 4, 2, 4 Group the data set and make a Frequency Table , 15, 12, 15, 12, 13, 20, 15, 21, 25, 16, 18, 17, 21, 23,16, 23, 19, 23, , 6, 5, 4, 6, 6, 8, 6, 3, 2, 4, 5, 6, 8, 8, 3, 3, 3, 4, 3, 8. 8, 6, 8, 7, 7, 5, 8, 5, 5, 6, 8, 4, , 2, 3, 5, 6, 4, 5, 5, 6, 5, 7, 8, , 22, 26, 24, 25, 22, 21, 21,
10 Name: Date Topic : Creating Frequency Tables- Worksheet 2 Record the data into a frequency table. 1. 7, 6, 7, 8, 5, 6, 8, 9, 9, 7, 5, 3, 8, 9, 3, 5, 9, 2, 2, 2, , 6, 9, 3, 8, 8, 4, 4, 2, 8, 6, 8, 7, 2, 4, 2, 4, , 5, 9, 8, 7, 5, 2, 9, 7, 6, 8, 4, 3, 4, 6, 6, 3, 4, , 5, 4, 8, 8, 3, 5, 2, 8, 3, 2, 2, 1, 1, 5, 3, , 4, 2, 6, 3, 7, 7, 4, 5, 6, 1, 1, 2, 4 Group the data set and make a Frequency Table , 13, 14, 15, 12, 13, 22, 26, 21, 24, 16, 18, 17, 21, 25,16, 23, 19, 27, , 5, 7, 6, 3, 4, 8, 6, 8, 9, 3, 5, 6, 7, 8, 2, 3, 4, 4, 3, 8. 7, 5, 3, 4, 8, 7, 2, 3, 5, 3, 8, 4, , 1, 1, 3, 4, 4, 5, 7, 6, 5, 7, 6, , 21, 25, 23, 23, 22, 21, 21,
11 Name: Date Topic : Creating Frequency Tables- Worksheet 3 Record the data into a frequency table. 1. 4, 8, 6, 7, 3, 5, 7, 8, 8, 9, 4, 2, 7, 8, 2, 7, 9, 5, 4, 2, , 5, 8, 9, 4, 8, 9, 7, 3, 8, 6, 8, 7, 2, 4, 2, 5, , 4, 8, 9, 7, 8, 3, 2, 6, 7, 8, 6, 3, 4, 4, 6, 3, 5, , 4, 7, 9, 3, 2, 4, 3, 7, 9, 3, 2, 2, 3, 5, 8, , 3, 2, 3, 3, 8, 7, 3, 5, 6, 2, 4, 4, 2 Group the data set and make a Frequency Table , 14, 12, 13, 12, 15, 26, 26, 21, 24, 16, 18, 17, 21, 25, 18, 27, 19, 19, , 5, 7, 5, 4, 4, 3, 5, 8, 9, 3, 5, 6, 7, 8, 4, 3, 3, 4, 2, 8. 6, 4, 3, 9, 8, 6, 2, 3, 5, 3, 7, 2, , 7, 1, 1, 4, 4, 5, 7, 6, 3, 1, 2, , 24, 22, 23, 23, 25, 21, 25,
12 Name: Date Topic : Creating Frequency Tables- Worksheet 4 Record the data into a frequency table. 1. 5, 6, 8, 5, 7, 3, 8, 7, 9, 8, 4, 2, 7, 8, 2, 7, 8, 9, 2, 8, , 3, 5, 9, 4, 8, 9, 7, 3, 8, 6, 8, 7, 4, 2, 5, 6, , 8, 5, 7, 7, 8, 3, 2, 6, 7, 8, 6, 3, 4, 6, 4, 5, 4, , 8, 7, 9, 3, 2, 4, 3, 7, 9, 3, 2, 3, 2, 3, 5, , 4, 3, 3, 3, 8, 7, 3, 6, 5, 2, 4, 2, 4 Group the data set and make a Frequency Table , 15, 12, 16, 12, 15, 24, 27, 22, 23, 17, 18, 18, 20, 26, 18, 25, 19, 18, , 4, 2, 2, 8, 3, 1, 2, 7, 8, 3, 1, 7, 6, 5, 2, 5, 4, 3, 2, , 4, 4, 7, 5, 6, 2, 4, 5, 5, 7, 6, , 4, 6, 2, 4, 4, 6, 5, 6, 5, 2, 3, , 25, 24, 23, 21, 25, 23, 24,
13 Name: Date Topic : Creating Frequency Tables- Worksheet 5 Record the data into a frequency table. 1. 2, 4, 6, 8, 7, 3, 8, 7, 9, 8, 4, 2, 7, 8, 2, 7, 8, 3, 5, 6, , 7, 5, 2, 1, 8, 9, 7, 2, 8, 6, 7, 4, 4, 2, 5, 6, , 7, 1, 3, 2, 1, 3, 2, 6, 7, 8, 6, 3, 4, 2, 4, 7, 6, , 8, 7, 7, 3, 2, 4, 3, 7, 9, 3, 2, 3, 6, 6, 9, , 4, 5, 6, 6, 7, 8, 3, 6, 5, 2, 4, 3, 6 Group the data set and make a Frequency Table , 13, 12, 18, 12, 15, 24, 27, 22, 23, 17, 18, 18, 20, 26, 18, 26, 18, 17, , 3, 1, 2, 8, 3, 1, 2, 7, 8, 3, 1, 7, 6, 5, 4, 5, 5, 6, 7, , 3, 4, 5, 6, 6, 2, 4, 5, 5, 7, 4, , 4, 6, 2, 4, 4, 6, 9, 3, 5, 6, 3, , 21, 22, 23, 21, 25, 23, 25,
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