Give me the answer of Q 4,5&6 of class 10 exercise 14.2
Answers
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4. The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.
Ans. For Mode: Here, Maximum frequency is 10 and it corresponds to the class interval 30 – 35.
Modal class = 30 – 35
And and
Mode = =
= = = 30 + 0.625 = 30.63 (approx.)
For Mean:
From given data, Assume mean = 32.5, Width of the class = 5
=
Using formula, Mean = 32.5 + 5 (– 0.65) = 32.5 – 3.25 = 29.25 (approx.)
Hence mode and mean of given data is 30.63 and 29.25. Also from above discussion, it is clear that states/U.T. have students per teacher is 30.63 and on average, this ratio is 29.25.
NCERT Solutions for Class 10 Maths Exercise 14.2
5. The given distribution shows the number of runs scored by some top batsmen of the world in one-day cricket matches:
Find mode of the data.
Ans. In the given data, maximum frequency is 18 and it corresponds to the class interval 4000 – 5000.
Modal class = 4000 – 5000
And and
Mode =
=
=
=
= 4000 + 608.6956
= 4608.7 (approx.)
Hence, mode of the given data is 4608.7 runs.
NCERT Solutions for Class 10 Maths Exercise 14.2
6. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarized it in the table given below:
Find the mode of the data.
Ans. In the given data, maximum frequency is 20 and it corresponds to the class interval 40 – 50.
Modal class = 40 – 50
And and
Mode =
=
=
= = 40 + 4.70588 = 44.7 (approx.)
Hence, mode of the given data is 44.7 cars.