Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 32 a sample of n = 6 scores has σx = 48. this sample has a mea…

Question

question 32
a sample of n = 6 scores has σx = 48. this sample has a mean of m = 6.
true
false
question 33
the median is the value in a distribution of scores that separates the lowest 50% of scores from the highest 50% of scores.
true
false
question 34
for a distribution that measures a discrete variable with an even number of scores, the median is usually just as valid as the mode to use as a measure of central tendency.
true
false

Explanation:

Step1: Recall mean formula

The formula for the sample mean $M=\frac{\sum X}{n}$.

Step2: Calculate the mean

Given $n = 6$ and $\sum X=48$, then $M=\frac{48}{6}=8
eq6$. So the statement in Question 32 is false.

Step3: Recall median definition

The median is the value that divides a data - set into two equal parts, separating the lowest 50% of scores from the highest 50% of scores. So the statement in Question 33 is true.

Step4: Consider central - tendency measures

For a discrete variable with an even number of scores, the median is a valid measure of central tendency and can be as useful as the mode. So the statement in Question 34 is true.

Answer:

Question 32: False
Question 33: True
Question 34: True