# Normal Distribution

For a particular sample of 50 test scores on a psychology exam, the following results were obtained.

Mean- 78, Midrange- 72, Third quartile-94, Mode-84, Median-80, standard deviation-11, range-52, first quartile-68

What score was earned by more students than any other score and why ? ( 84 ? because it is the score that occurs most frequently ?)

How many students scored between 68 and 94 ?

What was the highest score ? (98?)

What was the lowest score ? (46?)

How many students score within the three standard deviations of the mean ?

https://brainmass.com/statistics/quantative-analysis-of-data/normal-distribution-168563

#### Solution Preview

Here it is given that

Mean- 78, Midrange- 72, Third quartile-94, Mode-84, Median-80,

standard deviation-11, range-52, first quartile-68

1. What score was earned by more students than any other score

and why ?

Ans: 84.

Mode is the value of the item which occurs more

frequently than any other items. Here 84 is the score that

occurs most frequently.

2.How many students scored between 68 and 94 ?

Ans. 25 students.

First quartile Q1 is ...

#### Solution Summary

The solution contains the determination of number of students, highest and lowest score of students from a Normal distribution of scores using mean, median, range, quartile and standard deviation.