Question

which description best fits the distribution of the data shown in the histogram?
○ skewed left
○ uniform
○ skewed right
○ approximately bell - shaped
(histogram with x - axis: 0 - 99, 100 - 199, 200 - 299, 300 - 399, 400 - 499; y - axis: frequency from 0 to 11. bars: 0 - 99: 2, 100 - 199: 0, 200 - 299: 3, 300 - 399: 7 - 8, 400 - 499: 9 - 10)

Explanation:

Step1: Recall Skewness Definitions

Skewed left: Tail on left (low values), peak on right. Skewed right: Tail on right (high values), peak on left. Uniform: Equal frequency. Bell - shaped: Symmetric, peak in middle.

Step2: Analyze Histogram

The histogram has a tail (low frequency) on the left (0 - 99, 100 - 199 has 0 frequency effectively) and peak on the right (400 - 499 has highest frequency). So it's skewed left? Wait, no: Wait, skewed left means the tail is on the left (lower values), so the bulk of data is on the right. Wait, let's re - check: The classes are 0 - 99 (freq 2), 100 - 199 (freq 0), 200 - 299 (freq 3), 300 - 399 (freq 7 - 8), 400 - 499 (freq 9 - 10). The left side (lower values) has lower frequencies, and the right side (higher values) has higher frequencies. So the tail is on the left (towards lower values), which means the distribution is skewed left? Wait, no, wait: Skewed left: mean < median, tail on left. Skewed right: mean > median, tail on right. Wait, in this histogram, the lower value classes (0 - 99, 100 - 199) have low frequencies, and higher value classes have high frequencies. So the tail is on the left (the side with lower values), so the distribution is skewed left? Wait, no, I think I mixed up. Wait, skewed left: the tail is on the left (smaller values), so the graph has a long tail on the left. Skewed right: long tail on the right (larger values). In this histogram, the left side (smaller values: 0 - 99, 100 - 199) has low frequencies (tail), and the right side (larger values: 200 - 299, 300 - 399, 400 - 499) has high frequencies. So the tail is on the left, so it's skewed left? Wait, no, wait the options: the first option is skewed left. Wait, let's check again. The bars: 0 - 99 (2), 100 - 199 (0), 200 - 299 (3), 300 - 399 (7 - 8), 400 - 499 (9 - 10). So the left (lower x - values) has lower frequencies, so the tail is on the left. So the distribution is skewed left.

Answer:

skewed left