Search results
- A z-score measures the distance between a data point and the mean using standard deviations. Z-scores can be positive or negative. The sign tells you whether the observation is above or below the mean.
statisticsbyjim.com/basics/z-score/
People also ask
What is a z-score in statistics?
How do you find the z-score of a height of 26 inches?
What does a z-score of 1.6 mean?
How do you calculate a z-score?
If height cannot be obtained, use length of forearm (ulna) to calculate height using tables below. (See The ‘MUST’ Explanatory Booklet for details of other alternative measurements (knee height and demispan) that can also be used to estimate height).
- 455KB
- 1
Estimating height using knee height. Estimating height in Learning Disabilities. Step 1 of the ‘Malnutrition Universal Screening Tool’ (MUST): Calculating Body Mass Index. Step 2 of the ‘Malnutrition Universal Screening Tool’ (MUST): Calculating Percentage Weight Loss.
- Example 1
- Example 2
- Example 3
The scores on a certain college entrance exam are normally distributed with mean μ = 82 and standard deviation σ = 8. Approximately what percentage of students score less than 84 on the exam? Step 1: Find the z-score. First, we will find the z-score associated with an exam score of 84: z-score = (x – μ) / σ = (84 – 82) / 8 = 2 / 8 = 0.25 Step 2: Us...
The height of plants in a certain garden are normally distributed with a mean of μ = 26.5 inches and a standard deviation of σ = 2.5 inches. Approximately what percentage of plants are greater than 26 inches tall? Step 1: Find the z-score. First, we will find the z-score associated with a height of 26 inches. z-score = (x – μ) / σ = (26 – 26.5) / 2...
The weight of a certain species of dolphin is normally distributed with a mean of μ = 400 pounds and a standard deviation of σ = 25 pounds. Approximately what percentage of dolphins weigh between 410 and 425 pounds? Step 1: Find the z-scores. First, we will find the z-scores associated with 410 pounds and 425 pounds z-score of 410 = (x – μ) / σ = (...
- Exam Scores. Z-scores are often used in academic settings to analyze how well a student’s score compares to the mean score on a given exam. For example, suppose the scores on a certain college entrance exam are roughly normally distributed with a mean of 82 and a standard deviation of 5.
- Newborn Weights. Z-scores are often used in a medical setting to analyze how a certain newborn’s weight compares to the mean weight of all babies.
- Giraffe Heights. Z-scores are often used in a biology to assess how the height of a certain animal compares to the mean population height of that particular animal.
- Shoe Size. Z-scores can be used to determine how a certain shoe size compares to the mean population size. For example, it’s known that shoe sizes for males in the U.S. is roughly normally distributed with a mean of size 10 and a standard deviation of 1.
The ‘MUST’ calculator can be used to establish nutritional risk using either objective measurements to obtain a score and a risk category or subjective criteria to estimate a risk category but not a score.
A z-score measures the distance between a data point and the mean using standard deviations. Z-scores can be positive or negative. The sign tells you whether the observation is above or below the mean.
Step 1. Measure height and weight to get a BMI score using chart provided. If unable to obtain height and weight, use the alternative procedures shown in this guide. Step 2. Note percentage unplanned weight loss and score using tables provided. Step 3. Establish acute disease effect and score. Step 4.
