Frequency distribution problems
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Given the following series: 3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1. Present this data in Frequency Distribution Table. These x i then represent an event that is a subset of the sample space. Arrange the following data in ascending order. In each of 20 homes, people were asked how many cars were registered to their households. The marks obtained by a group of students in a test are: 15, 20, 15, 18, 22, 13, 13, 16, 15, 19, 18, 15, 16, 20, 16, 15, 18, 16, 14, 13.

The probabilities of the events are given by: P x 1 , P x 2 , P x 3 ,. In worksheet on frequency distribution the questions are based on arranging data in ascending order or descending order and constructing the frequency distribution table. Thus creating the frequency Distribution Table. For example, the number of dogs that people own in a neighborhood is a frequency. A frequency distribution is the representation of data, either in a graphical or tabular format, to displays the number of observation within a given integral. The marks obtained out of 25 by 30 students of a class in the examination are given below. The results were recorded as follows: 3, 1, 4, 0, 2, 1, 5, 2, 1, 5, 4, 2, 3, 2, 0, 2, 1, 0, 3, 2.

In our example above, you might do a survey of your neighborhood to see how many dogs each household owns. Arrange the following data in descending order. If I draw other cards, I lose. We could choose intervals of 5. Find the , variance and standard deviation for the following series of numbers: 2, 3, 6, 8, 11. Rather than simply looking at a huge number of test scores, the researcher might compile the data into a frequency distribution which can then be easily converted into a bar graph.

Example : The data below shows the mass of 40 students in a class. Get math study tips, information, news and updates each fortnight. Each class is known as a class interval. Solution We apply the table function to compute the frequency distribution of the School variable. Construct the frequency distribution table for the data on heights cm of 20 boys using the class intervals 130 - 135, 135 - 140 and so on.

Determine reasonable class intervals for a frequency table. The percentiles 32 and 85. It lists the observed values of the continuous random variable and their corresponding frequencies. What is the expected number of red balls? In order to make sense of this information, you need to find a way to organize the data. Let X denote the weight of a jar of coffee selected. Small standard deviation means small spread, large standard deviation means large spread.

We could group data into classes. Indicate whether the following variables are or : 1 Number stocks sold every day in the stock exchange. Answers for worksheet on frequency distribution are given below to check the exact answers of the above questions on presentation data. Construct the grouped frequency table with the class interval of equal width such as 30 - 35. Example 7 In a card game with my friend, I pay a certain amount of money each time I lose. Also, find the range of heights of the boys.

Solution: Step 1:Find the range. Construct a frequency distribution table for the data and draw the corresponding. Each entry occurring in the table contains the count or frequency of occurrence of the values within a group. Example 3 Refer to the previous example. The average deviation, variance and standard deviation. We are interested in some numerical description of the outcome. Step2: Find the intervals The intervals separate the scale into equal parts.

Calculate the mean, median and mode for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4. Solution: Divide the number of cars x into intervals, and then count the number of results in each interval frequency. Join thousands of satisfied students, teachers and parents! We shall use: A capital upper case X for the random variable and Lower case x 1, x 2, x 3. Given the following series: 5, 2, 4, 9, 7, 4, 5, 6, 5, 7, 7, 5, 5, 2, 10, 5, 6, 5, 4, 5, 8, 8, 4, 0, 8, 4, 8, 6, 6, 3, 6, 7, 6, 6, 7, 6, 7, 3, 5, 6, 9, 6, 1, 4, 6, 3, 5, 5, 6, 7. Also, find the range of the weekly pocket expenses. Example In the data set , the frequency distribution of the School variable is a summary of the number of painters in each school.