A standard I.Q. test produces normally distributed results with a mean of 104 and a standard deviation of 16 for 52,000 students

Question

3 years ago

13

in grade 12 in the province. Approximately how many of these people would have I.Q.s below 76?
4,170

23,915

2,127

2,083

2 answers:

Wewaii [24] · Answer 1 · 2022-03-05T22:32:14+03:00

The IQ scores are RVs (X) normally distributed with mean $\mu=104$ and standard deviation $\sigma =16$ .

The probability $P(X$ is calculated after converting the raw score to the standard score,

$P(X$ .

Now use normal distribution table or technology,

$P(X$ .

Thus, the number of people who would have I.Q.s below 76 out of 52,000 is

$0.0401*52000=2,085.2$ .

Therefore, the approximate number is $2,083$ .

Liula [17] · Answer 2 · 2022-03-05T20:49:37+03:00

Liula [17]3 years ago

4 0

I'm looking for this aswell