A survey was conducted by Wakefield Research in which...

A survey was conducted by Wakefield Research in which participants were asked to disclose their favorite night to order takeout for dinner. The following data are based on their results. (a) Construct a frequency distribution. (b) Construct a relative frequency distribution. (c) If you own a restaurant, which day would you purchase an advertisement in the local newspaper? Are there any days you would avoid purchasing advertising space? (d) Construct a frequency bar graph. (e) Construct a relative frequency bar graph. (f) Construct a pie chart. (TABLE CAN'T COPY)

A survey was conducted by Wakefield Research in which participants were asked to disclose their favorite night to order takeout for dinner. The following data are based on their results.
(a) Construct a frequency distribution.
(b) Construct a relative frequency distribution.
(c) If you own a restaurant, which day would you purchase an advertisement in the local newspaper? Are there any days you would avoid purchasing advertising space?
(d) Construct a frequency bar graph.
(e) Construct a relative frequency bar graph.
(f) Construct a pie chart.
(TABLE CAN'T COPY)

Key Concepts

Relative Frequency Distribution

A relative frequency distribution represents the proportion or percentage of the total number of data points that falls within each category. By converting absolute frequencies into relative frequencies, it allows comparisons across different datasets or categories more effectively, especially when the total sample size differs.

Frequency Distribution

A frequency distribution is a method of organizing data into categories or bins and displaying the number of observations that fall into each category. It helps to summarize large data sets and provides a clear overview of how frequently each value or category appears, which is crucial for descriptive statistical analysis.

Bar Graph

A bar graph is a visual representation of data where the frequency or relative frequency of different categories is depicted using bars. The length or height of each bar corresponds to the frequency count, making it easy to compare the values across categories and identify patterns or trends within the data.

Pie Chart

A pie chart is a circular graph divided into sectors, where each sector represents a part of the whole. The size of each sector is proportional to the frequency or relative frequency of the categories, providing an intuitive visual indication of the distribution of parts within a full dataset.

Advertising Decision Based on Survey Data

Utilizing survey data for advertising decisions involves analyzing the frequency and relative frequency distributions to identify which category, such as a day of the week, is most popular. This helps in targeting advertising efforts effectively by choosing times with higher consumer engagement, while also understanding which times may be less effective for investment.

Transcript

0:00 Hello everyone.

00:01 So in this question, it is showing a data having favorite night to order dinner by participants.

00:08 So in this question, the first segment, it is asked, what is the frequency distribution? frequency distribution.

00:16 So when we talk about the frequency distribution, it is the how many times a data is repeated.

00:30 So it will be, for example, thursday.

00:33 If we have thursday, you will have to check how many times.

00:35 The thursday has been repeated and that will be giving the frequency distribution.

00:39 So similarly, we will calculate for each of the days and see how many times the data is repeated and the plot or you can say the data which is going to be obtained is going to look like this.

00:47 So here is the day and the frequency, how many times it has been repeated.

00:52 So this is the answer for the first segment.

00:54 Moving forward to the second segment, it is said that we need to find the relative frequency distribution.

01:01 Rf means relative frequency distribution.

01:03 In this question, the relative frequency has the formula rf is equal to frequency of that day divided by sum of the frequency.

01:17 Let's suppose we want the relative frequency for sunday.

01:21 So i will write down rf sunday will be equal to the frequency.

01:25 How many times it is repeated? so it is repeated three times divided by sum.

01:30 Sum is 40.

01:31 So 3 upon 40.

01:32 So when i do the calculation, this comes out to be equal to 0 .07.

01:36 So this will be the relative frequency for sunday.

01:39 Now similarly, we'll calculate for other days and see what data is going to be obtained.

01:43 So this is the data which is going to be obtained.

01:45 Now, moving forward to the c segment of this question.

01:49 It is asked if we own the restaurant, which day will be avoided to do the advertisement...

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