Find the median of the following distribution Class Interval 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 Frequency 3 6 8 15 10 8

The cumulative frequency table is as below, Class interval Frequency f i Cumulative frequency c . f . 0 - 10 3 3 10 - 20 6 6 + 3 = 9 20 - 30 8 8 + 9 = 17 30 - 40 15 15 + 17 = 32 40 - 50 10 10 + 32 = 42 50 - 60 8 8 + 42 = 50 Total N = ∑ f i = 50 We need to find the median of the given frequency distribution table. We have, N = 50 So, N 2 = 50 2 = 25 The cumulative frequency just greater than 25 is 32 , which corresponds to the class 30 - 40 . Thus, the median class is 30 - 40 . Here, l = 30 (the lower limit of the median class) f = 15 (frequency of the median class) h = 10 (width of each class) N = 50 (number of observations) and C = 17 (cumulative frequency of class preceding the median class) ∴ Median = l + N 2 - C f × h = 30 + 25 - 17 15 × 10 = 30 + 8 15 × 10 = 30 + 16 3 = 30 + 5 . 33 = 35 . 33 approx Hence, the median is 35 . 33 .

Embibe Experts Solutions for Chapter: Statistics, Exercise 1: meghalaya board-2018

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Statistics, Exercise 1: meghalaya board-2018

Attempt the free practice questions on Chapter 14: Statistics, Exercise 1: meghalaya board-2018 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Statistics, Exercise 1: meghalaya board-2018 with Hints & Solutions

MEDIUM

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2018>Q 1

If the weights of $5$ students are $38 kg, 41 kg, 36 kg, 39 kg and 41 kg$ , find the mean weight of the students.

MEDIUM

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2018>Q 2

Find the median of the grouped data $6, 14, 5, 13, 11, 7, 8, 8$ .

HARD

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2018>Q 3

A survey was conducted in a class to find the preference of students for the soft drinks and recorded as follows:

Soft drinks

Number of students

Orange juice

Cola

Lime juice

Mango juice

Melon Juice

$15$

$13$

$9$

$7$

$11$

Make a bar graph with a suitable scale for the above data.

EASY

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2018>Q 4

Define range of a grouped data.

EASY

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2019>Q 5

Define class-mark of a class interval.

MEDIUM

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2019>Q 6

The following distribution shows the daily pocket allowances of children of a locality. The mean pocket allowance is $18$ . Find the missing frequency $f$ :

Daily pocket allowance (in $₹$ )	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$	$19 - 21$	$21 - 23$	$23 - 25$
Frequency	$7$	$6$	$9$	$13$	$f$	$5$	$4$

HARD

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2020>Q 8

The mean of the following frequency distribution is $62.8$ and the sum of all frequencies is $50$ . Find the missing frequencies $f_{1}$ and $f_{2}$ :

Class Interval	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$
Frequency	$7$	$f_{1}$	$12$	$f_{2}$	$7$	$8$

HARD

10th Meghalaya Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>meghalaya board-2020>Q 9

Find the median of the following distribution

Class Interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Frequency	$3$	$6$	$8$	$15$	$10$	$8$

Embibe Experts Solutions for Chapter: Statistics, Exercise 1: meghalaya board-2018

Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Statistics, Exercise 1: meghalaya board-2018

Questions from Embibe Experts Solutions for Chapter: Statistics, Exercise 1: meghalaya board-2018 with Hints & Solutions

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