The histogram for the observations on an unknown quantitative variable called Va

Question

The histogram for the observations on an unknown quantitative variable called Variable Y is shown here. RELATIVE FREQUENCY 0.45 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 . 0-19 20-39 40-59 60-79 80-99 100-119 The distribution shown in the preceding histogram is negatively skewed symmetrical positively skewed Based on the shape of the distribution, which of the tomowTTTUTSTOTUTETT ore likely to represent? O Scores on a fairly easy licensing exam for a group of working professionals O Amount of cash (in dollars) in a person's wallet in a small U.S. town

Explanation / Answer

The distribution shown in the Histogram is the negative skewed distribution as tail of the distribution is on the left hand side of the mean value and mean is usually lower than median here.

Based on the shape of distribution,

Part(a) Scores on a fairly easy licensing paper for group of working professionals. As we can say that working professionals are literate people and know driving rules . It is also shown the licensing papers are easy so we can say that most of them must have scored heavily, which is clearly represented in the histogram as it is negatively skewed. so That variable is more likely to be represented.

Part(b) shows that Amount of cash (in a person' wallet) in a small U.S. town. As the town is small, there will be more liquidity preference. But, it is ambiguous that this type of variable show a negative skewed distribution. So, It cant really be predicted distribution of the amount of cash in a wallet. so, this is not correct.

So, option A is more likely to be represent the shape of above given histogram's distribution.

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