2 pics, one question ### Study on Attractiveness Ratings in Speed DatingIn a study of speed dating, female subjects were asked to rate the attractiveness of their male dates. The ratings were given on a scale from 1 to 10, where 1 signifies "not attractive" and 10 signifies "extremely attractive". Below is a sample of the results:#### Sample Data```7, 4, 4, 6, 8, 1, 1, 2, 4, 6, 3, 5, 69, 7, 7, 4, 7, 1, 5, 10, 8, 2, 6, 1 ```### Statistical AnalysisTo understand the distribution and variation in attractiveness ratings, we will calculate the range, variance, and standard deviation of the sample data.1. **Range**: The range of the sample data is the difference between the highest and lowest values in the data set. - **Calculation**: Range = Max Value - Min Value - Max Value = 10, Min Value = 1 - **Range** = 10 - 1 = 9 - **Rounded Range**: 9.02. **Standard Deviation**: The standard deviation measures the amount of variation or dispersion of a set of values. - **Calculation**: Use the formula for standard deviation. - Steps (Simplified): 1. Find the mean (average) of the data. 2. Subtract the mean from each data point and square the result. 3. Find the mean of these squared differences. 4. Take the square root of this mean. - **Result**: Calculated and rounded to one decimal place. - **Standard Deviation**: 2.8 (approx)3. **Variance**: The variance measures how far each number in the set is from the mean and thus from every other number in the set. - **Calculation**: Variance is the square of the standard deviation. - **Variance**: 7.8 (approx) The calculated values help us understand the spread and distribution of attractiveness ratings in this sample group, which can be generalized to describe variations among attractiveness ratings for the broader population of adult males. **Note**: Ensure the values are calculated and ### Speed Dating Study on Attractiveness RatingsIn a study of speed dating, female subjects were asked to rate the attractiveness of their male dates. The ratings were on a scale from 1 to 10, where 1 indicates "not attractive" and 10 indicates "extremely attractive." Below is a sample of the results:| 7 | 4 | 4 | 6 | 8 | 1 | 1 | 2 | 4 | 6 | 3 | 5 | 6 ||---|---|---|---|---|---|---|---|---|---|---|---|---|| 9 | 7 | 7 | 4 | 7 | 7 | 1 | 5 | 10| 8 | 2 | 6 | 1 |The goal is to find the range, variance, and standard deviation for the given sample data and determine if the results can describe the variation among attractiveness ratings for the population of adult males.#### Calculation of RangeThe range is the difference between the highest and lowest values in the dataset.- **Highest value:** 10- **Lowest value:** 1- **Range:** 10 - 1 = 9#### Calculation of VarianceVariance is a measure of how much the values in a dataset differ from the mean of the dataset.- **Mean (average) of sample data:** $ \bar{x} = \frac{\sum x_i}{n} $- Sum of sample data: $7 + 4 + 4 + 6 + 8 + 1 + 1 + 2 + 4 + 6 + 3 + 5 + 6 + 9 + 7 + 7 + 4 + 7 + 7 + 1 + 5 + 10 + 8 + 2 + 6 + 1 = 132$- Number of data points (n): 25- Mean: $ \bar{x} = \frac{132}{25} = 5.28 $To find the variance ($ \sigma^2 $):$ \sigma^2 = \frac{\sum (x_i - \bar{x})^2}{n-1}$1. Calculate $(x_i - \bar{x})^2$ for each value.2. Sum these squared

Name: 2 pics, one question ### Study on Attractiveness Ratings in Speed Dati
Uploaded: 2024-03-20T07:07:50.000Z
Channel: Bartleby
Description: 2 pics, one question ### Study on Attractiveness Ratings in Speed DatingIn a study of speed dating, female subjects were asked to rate the attractiveness of their male dates. The ratings were given on a scale from 1 to 10, where 1 signifies "not attr

Given information see the following data

Math

Statistics

In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive Find the range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult males 4. 8 1 1 6. OI 7 7 1 10 8 6. 1 The range of the sample data is (Round to one decimal place as needed.) The standard deviation of the sample data is (Round to one decimal place as needed.) The variance of the sample data is (Round to one decimal place as needed.)

In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive Find the range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult males 4. 8 1 1 6. OI 7 7 1 10 8 6. 1 The range of the sample data is (Round to one decimal place as needed.) The standard deviation of the sample data is (Round to one decimal place as needed.) The variance of the sample data is (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

See similar textbooks

Related questions

Q: 1. Given n= 36, x = 786, o= 48, µ= 800 to test the hypothesis that u=800 against u 800. What is the…

A: For the given 3 parts, we need to use the concept of statistical inference.

Q: Q2. An economist is interested in the relationship between the disposable income of a family and the…

A: Let x denotes disposable income in thousands of taka y denotes food expenditure in hundreds of taka…

Q: For u, v, and w given in Exercises 1-3, calculate u 2v, u (2v- 3w), and -2u - v + 3w. 1. In the…

Q: (d) Compute the probability of three occurrences in one time period. (Round your answer to four…

A: The probability mass function of the Poisson distribution is given by,and it has mean of…

Q: List the sides in order from the smallest to the largest. V 38° 66° 76°

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Q2. An economist is interested in the relationship between the disposable income of a family and the…

A: The independent variable is x, disposable income. The dependent variable is food expenditure. We…

Q: Find the measure of the remote exterior angle. mZx = (4n – 18)* m/y = (n+ 8)" mLz - (133-6п)" %3D…

Q: In a study of color perception, 180 men are tested, and 18 are found to have red/green color…

A: Given : n = 180 x = 18 p^ = 18/180 = 0.1

Q: 1. Use the following methods to solve for the root of the equation f(x) = xe~* – sinx - e. Newton…

Q: Find. 1) a. lim f(x) and b. lim f(x). Find the limit, if it exists. x2+ 4 2) lim X2 X+ 2 3) lim X-7…

A: Part (1) Given graph of function is

Q: 4. Consider the saddle surface r y?- z², find the equation for the tangent plane at the point (0,1,…

Q: 3 and 4?

A: 3) Given, A researcher would like to determine if college students get less than 8 hours of sleep…

Q: 2. In a factory, all employees work a basic week of 38 hours. Any overtime worked is paid for at…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ? ? ? ? ? Determine whether the given set S is a subspace of the vector space V. 1. V = RXn, and S…

Q: Please answer question 7,8

Q: 3. Find the 22nd term of the arithmetic sequence 2, 7, 12, 17, ... A. 107 B. 112 C. 117 D. 122 4.…

A: calculate the a22 .

Q: 5. Kenyi covers the front of a circular bulletin board with fabric that costs 9+4.7 38.61 $1.48 per…

Q: In the figure below, P(x; 24) is a point such that OP = 25 and RÔP = B., where ß is an obtuse angle.…

Q: A statistical technique that enables you to obtain a linear equation that relates dependent variable…

A: We need to use the concept of regression analysis.

Q: Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively…

A: Given: X Y 8 1 8 2 8 3 9 1 9 2 9 3 2 10 10 1 10 2 10 3

Q: 4) If f(x) = (5x – 6)(5x + 6), what are the zeros of the polynomial? 5) The graph of the function…

A: Average rate of change of a function f(x) over interval [a,b] is given as: f(b)-f(a)b-a

Q: answer 1, 2, 3

A: A sentence is a proposition when the sentence is assertive, and it is either true or false. But a…

Q: Random Population Population Variable Mean Standard Deviation Z Score 15 3. [Blank 1]. [Blank 2] 8…

A: See the handwritten solution

Q: Find the measure of each angle in Triangle ABC. mZa = (50 – z) mZb = (9x- 40) %3| mLc= 90° OA. mla =…

Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.

Topic Video

Question

2 pics, one question

### Study on Attractiveness Ratings in Speed Dating

In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates. The ratings were given on a scale from 1 to 10, where 1 signifies "not attractive" and 10 signifies "extremely attractive". Below is a sample of the results:

#### Sample Data
```
7, 4, 4, 6, 8, 1, 1, 2, 4, 6, 3, 5, 6
9, 7, 7, 4, 7, 1, 5, 10, 8, 2, 6, 1
```

### Statistical Analysis
To understand the distribution and variation in attractiveness ratings, we will calculate the range, variance, and standard deviation of the sample data.

1. **Range**: The range of the sample data is the difference between the highest and lowest values in the data set.
- **Calculation**: Range = Max Value - Min Value
- Max Value = 10, Min Value = 1
- **Range** = 10 - 1 = 9
- **Rounded Range**: 9.0

2. **Standard Deviation**: The standard deviation measures the amount of variation or dispersion of a set of values.
- **Calculation**: Use the formula for standard deviation.
- Steps (Simplified):
1. Find the mean (average) of the data.
2. Subtract the mean from each data point and square the result.
3. Find the mean of these squared differences.
4. Take the square root of this mean.
- **Result**: Calculated and rounded to one decimal place.
- **Standard Deviation**: 2.8 (approx)

3. **Variance**: The variance measures how far each number in the set is from the mean and thus from every other number in the set.
- **Calculation**: Variance is the square of the standard deviation.
- **Variance**: 7.8 (approx)

The calculated values help us understand the spread and distribution of attractiveness ratings in this sample group, which can be generalized to describe variations among attractiveness ratings for the broader population of adult males.

**Note**: Ensure the values are calculated and

### Speed Dating Study on Attractiveness Ratings

In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates. The ratings were on a scale from 1 to 10, where 1 indicates "not attractive" and 10 indicates "extremely attractive." Below is a sample of the results:

| 7 | 4 | 4 | 6 | 8 | 1 | 1 | 2 | 4 | 6 | 3 | 5 | 6 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 9 | 7 | 7 | 4 | 7 | 7 | 1 | 5 | 10| 8 | 2 | 6 | 1 |

The goal is to find the range, variance, and standard deviation for the given sample data and determine if the results can describe the variation among attractiveness ratings for the population of adult males.

#### Calculation of Range
The range is the difference between the highest and lowest values in the dataset.

- **Highest value:** 10
- **Lowest value:** 1
- **Range:** 10 - 1 = 9

#### Calculation of Variance
Variance is a measure of how much the values in a dataset differ from the mean of the dataset.

- **Mean (average) of sample data:** $ \bar{x} = \frac{\sum x_i}{n} $
- Sum of sample data: $7 + 4 + 4 + 6 + 8 + 1 + 1 + 2 + 4 + 6 + 3 + 5 + 6 + 9 + 7 + 7 + 4 + 7 + 7 + 1 + 5 + 10 + 8 + 2 + 6 + 1 = 132$
- Number of data points (n): 25
- Mean: $ \bar{x} = \frac{132}{25} = 5.28 $

To find the variance ($ \sigma^2 $):

$ \sigma^2 = \frac{\sum (x_i - \bar{x})^2}{n-1}$

1. Calculate $(x_i - \bar{x})^2$ for each value.
2. Sum these squared

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Sample space, Events, and Basic Rules of Probability$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.