Hello. Please explain HOW to solve this question:
A list of measurements in increasing order is 4,5,6,8,10 and x. The median is 6/7 times the mean. What is the value of x?
How should I approach and sole this?
Thank you
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Mean and Median question
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I get 16.
avg = 4+5+6+8+10+x /6 = (33+x)/6
median = 7 (i.e half way between item num 3 and 4 since there are 6 items)
question stem tells you that:
6/7 * (33+x)/6 = 7 --> 49/6 = 33+x /6 --> 49 = 33+x --> x = 49-33 = 16
avg = 4+5+6+8+10+x /6 = (33+x)/6
median = 7 (i.e half way between item num 3 and 4 since there are 6 items)
question stem tells you that:
6/7 * (33+x)/6 = 7 --> 49/6 = 33+x /6 --> 49 = 33+x --> x = 49-33 = 16
