The following table lists the weights in pounds for 88 male and female participants at a health fair. Weight (lb) Males Females 100 to under 150 12 9 150 to under 200 10 18 200 to under 250 9 1 250 to under 300 15 14 Estimate the mean and median, and determine the modal class for: a. All 88 participants. b. The male and female participants. a. Mean: Round to 2 decimal places Median: Modal class: b. Males: Mean: Round to 2 decimal places Median: Modal class: Females: Mean: Round to 2 decimal places Median: Modal class:
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
| Weight (lb) | Males | Females |
|---|---|---|
| 100 to under 150 | 12 | 9 |
| 150 to under 200 | 10 | 18 |
| 200 to under 250 | 9 | 1 |
| 250 to under 300 | 15 | 14 |
| a. |
Mean:
Round to 2 decimal places
Median:
Modal class:
|
|---|
| b. | Males: |
|---|---|
|
Mean:
Round to 2 decimal places
Median:
Modal class:
|
|
| Females: | |
|
Mean:
Round to 2 decimal places
Median:
Modal class:
|
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