1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# The following table contains the heights and weights of a sample of 5 women from a room. Find the approximate weight corresponding to 165 cm using interpolation. Height (X, cm)Weight (Y, kg)1505416058170631756518070

A

59.5 kg

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

61 kg

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

61.5 kg

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

62 kg

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 61 kg xyx−¯x(x−¯x)2(y−¯y)(x−¯x)(y−¯y)15054−17289−813616058−749−4281706339131756586432418070131698104∑=580∑=295 ¯x=∑xn=8355=167 ¯y=∑yn=3105=62 M=∑ni=1(xi−¯x)(yi−¯y)∑ni=1(xi−¯x)2=295580=0.51 B=¯y−M¯x=62−0.51×167=−23.17 y=0.51 x−23.17 Substituting 165 cm in the equation, y=0.51×165−23.17=60.98 Weight corresponding to 165 cm is around 61 kg.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Measuring Correlation
STATISTICS
Watch in App
Explore more
Join BYJU'S Learning Program