Question

for a frequency distribution the lower quartile is 35 and median is 40 if the distribution is symmetric.find the upper quartile​

Answer 1

Lower quartile =Q1​=35

Median =40

Skb​=0 ... the distribution is symmetric.

Skb​=Q3​−Q1​Q3​+Q1​−2Q2​​

0=Q3​+Q1​−2Q2​

Q3​=2Q2​−Q1​

=2(40)−35

=80−35

=45

The upper quartile Q3​=45.

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