On a standardized exam, the scores are normally distributed with a mean of 350 and
1 answer:
Answer:
Step-by-step explanation:
A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:
where x is the value, μ is the mean, and σ is the standard deviation.
For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.
- x= 346
- μ= 350
- σ= 40
Substitute the values into the formula.
Solve the numerator.
Divide.
The z score is <u>-0.1</u>, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.
You might be interested in
Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.
As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.
To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.
We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,
Thus, Each friend of Tommy will receive 4 blue balloons.
- Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
- Variable: In Mathematics, a variable is a symbol or a representative of a value, which is unknown.
To learn more about Linear Equations, click on the link below.
#SPJ9