You are curious in finding out how much people enjoy 'horror' movies depending on their age. You survey people over several weeks and create two groups; group 1 that consists of people under the age of 50. And group two that consists of people over 50. Each person in each group is asked to watch certain "horror" and rate it on a scale of 1 to 10. The first sample has 174 individuals who gave an average rating score of 7.43 with a standard deviation of 2.18. The second sample has 139 individuals who gave an average rating score of 4.08 with a standard deviation of 1.79. Assuming that the variance in both segments of the population are the same, calculate the pooled variance of the two groups.

Round the intermediate numbers to 4 decimal places and the final answer to 3 decimal places.

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