Statistical Measures | MCQs

Explanation

Explanation

The value of the correlation between two variables is always "Less than one" in magnitude, as it ranges from -1 to 1.

Explanation

• The semi-interquartile range (SIQR) is calculated as half of the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1).
• So, SIQR = (Q3 - Q1) / 2
• Given Q1 = 78 and Q3 = 48, we need to subtract Q1 from Q3, but then take the absolute value because Q3 is less than Q1 in this case:
• SIQR = |48 - 78| / 2 = |-30| / 2 = 30 / 2 = 15
• Therefore, the value of the semi-interquartile range is 15.

Explanation

• The range in a distribution is calculated by subtracting the minimum score from the maximum score.
• Range = Maximum score - Minimum score
• So, in this case:
• Range = 86 - 54 = 32
• Therefore, the correct option is "Neither A nor B."

Explanation

To find the median of even numbers in ungrouped data, the formula is (n/2 + (n/2 + 1))/2, where 'n' represents the total number of observations.

Explanation

• The mode of a set of numbers is the value that appears most frequently.
• For the scores 4, 1, 6, 4, 3, 5, 4, 5, 6, 3:
• 1 appears once
• 3 appears twice
• 4 appears three times
• 5 appears twice
• 6 appears twice
• The number 4 appears the most frequently (three times), so the mode is 4.
• So, the mode of the scores is 4.

Explanation

• To find the median of a set of numbers, you arrange them in ascending order and then find the middle value.
• For the scores 11, 14, 5, 7, 8, 18, 15, 10:
• Arranged in ascending order: 5, 7, 8, 10, 11, 14, 15, 18
• There are 8 numbers in total, so the median is the average of the two middle numbers, which are 10 and 11.
• (10 + 11) / 2 = 21 / 2 = 10.5
• So, the median of the scores is 10.5.

Explanation

The score that is attained by more subjects than any other score is called the "Mode."

Explanation

The correct formula to calculate the Median is (Middle value 1 + Middle value 2) / 2, where the median is the average of the two middle values when the number of data points is even.

This formula ensures that the median accurately represents the central tendency of the data set, providing a balanced measure of the distribution's center.

It is commonly used to summarize the middle value in a sorted list of numbers, accounting for both odd and even data sets.