how much does the mean score tell you about the performance of the whole class?

Question
how much does the mean score tell you about the performance of the whole class?

Answers (1)

2020-12-04
Step 1
Averages are tools of summarizing data, it facilitates the comparison. Different averages are suitable to different situations are to be used.
Mean or arithmetic mean is most commonly used and widely applicable average.
Considering the situation as, there is class with 50 students. One test is conducted in the class. While reporting the score of class it is lengthy method to write each and every student’s score. To represent score of the class as a single unit mean is used.
Mean of the data can be calculated as:
\(\bar{X}=\frac{\sum x_{i}}{n}\)
Step 2
Mean is widely used due to its some good requisites,
Mean is easy to calculate and simple to follow.
It is based on all observations.
Mean is capable of further mathematical treatment. (as mean and sizes of more than two groups is given combined mean can be calculated)
If data is considered as 38, 43, 41, 39, 52, 48, 60, 167, mean of the data is 61.
Here among 8 observations 7 are smaller than mean.
Calculating mean is applicable for quantitative data only.
It is unduly affected by extreme observations and mean cannot be calculated graphically.
Hence, mean is not good average in all cases.
0

Relevant Questions

asked 2021-01-02
Explain how to will the mean and the median affected after correcting the score.
The instructor entered the test scores from statistics class of 25 students and calculated the mean and median of the scores. After checking it was discovered that the top score was entered wrong as 46 instead of 56.
asked 2020-11-22
Time and Work: Techniques and examples with solutions Today I'm going to discuss a very important topic i.e. Time and Work of quantitative aptitude. In almost every exam at least 2-3 question are asked every time. In this chapter, I will tell you about a definite relationship between Time and work and easy method to solve the problems.
asked 2021-02-19
You deposit money into a saving account that earns interest. The balance Bo f the account after t years is given by \(\displaystyle{B}={1200}\cdot{1.05}^{{t}}{d}{o}{l}{l}{a}{r}{s}.\)
a. Make a table that shows the account balance for years 0 through 10.
b. You want to buy a home entertainment center that costs $1500. How long will you need to wait to have enough money in your savings account? Report your answer to the nearest whole year.
asked 2020-10-23
1. Find each of the requested values for a population with a mean of \(? = 40\), and a standard deviation of \(? = 8\) A. What is the z-score corresponding to \(X = 52?\) B. What is the X value corresponding to \(z = - 0.50?\) C. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores? D. What is the z-score corresponding to a sample mean of \(M=42\) for a sample of \(n = 4\) scores? E. What is the z-scores corresponding to a sample mean of \(M= 42\) for a sample of \(n = 6\) scores? 2. True or false: a. All normal distributions are symmetrical b. All normal distributions have a mean of 1.0 c. All normal distributions have a standard deviation of 1.0 d. The total area under the curve of all normal distributions is equal to 1 3. Interpret the location, direction, and distance (near or far) of the following zscores: \(a. -2.00 b. 1.25 c. 3.50 d. -0.34\) 4. You are part of a trivia team and have tracked your team’s performance since you started playing, so you know that your scores are normally distributed with \(\mu = 78\) and \(\sigma = 12\). Recently, a new person joined the team, and you think the scores have gotten better. Use hypothesis testing to see if the average score has improved based on the following 8 weeks’ worth of score data: \(82, 74, 62, 68, 79, 94, 90, 81, 80\). 5. You get hired as a server at a local restaurant, and the manager tells you that servers’ tips are $42 on average but vary about \($12 (\mu = 42, \sigma = 12)\). You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don’t know if you will make more or less in tips. After working 16 shifts, you find that your average nightly amount is $44.50 from tips. Test for a difference between this value and the population mean at the \(\alpha = 0.05\) level of significance.
asked 2021-03-08
Explain the effect of correcting the error has on the IQR and the standard deviation.
The professor calculated the IQR and the standard deviation of the test scores in question 6 before realizing her mistake that is she entered the top score as 46 but it was actually 56.
asked 2021-02-09
To Explain:the report about all of these growth rates.
asked 2020-10-28
Find the mean for the data.
The data represents the costs of nine compact refrigerators rated very good or excellent by Consumer Reports on their website.
asked 2021-02-25
Explain which measure of center best describes a typical wage at this company:the mean or the median.
asked 2020-11-23
Find the number of employees earn that are more than mean wage.
asked 2021-02-10
Find the mean and median wage.
A supervisor at \(\$1,200\) a week, an inventory manager at \(\$700\) a week, six stock boys at \(\$400\) a week and four drivers at \(\$500\) are employed by a small warehouse.
Mean:
The sum of all the entries divided by the total number of entries is known mean.
...