The middle value of an array figure arranged in descending order is referred to as the

Analyze the question: The question asks for the name of the statistic that is the middle value of data arranged in order (here, descending order).

Explain the concept: The three main measures of central tendency are:

• Mean: the arithmetic average (sum of values ÷ number of values).
• Mode: the value that occurs most often.
• Median: the middle value when data is arranged in ascending or descending order.

Variance is not a measure of central tendency. It is a measure of dispersion, showing how far values spread from the mean.

Step-by-step solution:

1. The data is arranged in order (descending), which is the first step in finding the median.
2. We then pick the value in the middle position. • If there is an odd number of values, the median is the value at position (n + 1)/2. • If there is an even number of values, the median is the average of the two middle values.

Example: For 9, 7, 5, 3, 1 (descending), n = 5, so the position is (5 + 1)/2 = 3rd, giving a median of 5.

Checking the options:

• A. Variance: measures spread, not the middle value. Incorrect.
• B. Mean: the average, not necessarily the middle value. Incorrect.
• C. Mode: the most frequent value. Incorrect.
• D. Median: the middle value of an ordered array. Correct.

Tip: Think "Median = Middle". Both start with "M-e/i-d". The median always needs the data to be arranged in order first, so when you see "middle value" or "ordered array" in a question, think median.