A taxi driver records the distances of his journeys, to the nearest km, over the course of a long weekend shift. Distance 1 - 5 6 - 10 11 - 15 16 - 20 21 - 25 Frequency 10 6 8 5 2 Write down the modal class.

Given frequency table is Distance 1 - 5 6 - 10 11 - 15 16 - 20 21 - 25 Frequency 10 6 8 5 2 The modal class is the class interval with the highest frequency. So, here we have highest frequency of 10 in class 1 - 5 . So, 1 - 5 is the modal class of given data

Fifty students recorded how much they spent on eating out in one month (to the nearest dollar). The results are shown in the partially complete frequency table: Class interval Class boundaries Frequency 1 - 10 0 . 5 - 10 . 5 14 11 - 20 10 . 5 - 20 . 5 13 21 - 30 15 31 - 40 0 41 - 50 4 51 - 60 3 61 - 70 1 State the modal class.

The given table shows the amount spent on eating out in one month by students The modal class is the class interval with the highest frequency. So, here we have highest frequency of 15 in class 21 - 30 So, 21 - 30 is the modal class of given data

Fifty students recorded how much they spent on eating out in one month (to the nearest dollar). The results are shown in the partially complete frequency table: Class interval Class boundaries Frequency 1 - 10 0 . 5 - 10 . 5 14 11 - 20 10 . 5 - 20 . 5 13 21 - 30 15 31 - 40 0 41 - 50 4 51 - 60 3 61 - 70 1 State the class that contains the median.

The given table shows the amount spent on eating out in one month by students The table of given data Class interval Frequency cumulative frequency 1 - 10 14 14 11 - 20 13 27 21 - 30 15 42 31 - 40 0 42 41 - 50 4 46 51 - 60 3 49 61 - 70 1 50 Now, let n = sum of all frequencies n = 14 + 13 + 15 + 0 + 4 + 3 + 1 = 50 as n is even, so the position of median is the class whose cumulative frequency is greater than n 2 lies. Therefore, the position of median is the class whose cumulative frequency is greater than 50 2 = 25 So, this will be possible in 11 - 20 interval. So, the median will be in the interval 11 - 20 .

Embibe Experts Solutions for Chapter: Statistics, Exercise 1: Exercise

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

Attempt the free practice questions on Chapter 13: Statistics, Exercise 1: Exercise with hints and solutions to strengthen your understanding. Mathematics Crash Course (Based on Revised Syllabus-2023) solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Statistics, Exercise 1: Exercise with Hints & Solutions

MEDIUM

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 14

From the given frequency distribution table the modal class is

Marks	Less than $10$	Less than $20$	Less than $30$	Less than $40$	Less than $50$	Less than $60$
Number of female students	$5$	$12$	$28$	$58$	$80$	$100$

MEDIUM

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 15

From the given frequency distribution table, the difference of the upper class limit of the median class and lower limit of the modal class is

Class	$65 - 85$	$85 - 105$	$105 - 125$	$125 - 145$	$145 - 165$	$165 - 185$	$185 - 205$
Frequency	$4$	$15$	$3$	$20$	$21$	$6$	$8$

EASY

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 30

In his end of year exams, Joe scored the following:
Science $34 %$
English $90 %$
History $87 %$
Math $34 %$
Geography $55 %$
What was the mean?

EASY

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 31

The number of text messages sent by $17$ adults in one week are shown below.
$36, 40, 22, 8, 16, 19, 48, 62, 27, 22, 34, 31, 36, 28, 30, 12, 20$

Find the mean and median number of texts sent.

MEDIUM

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 32

The frequency distribution of daily expense of $100$ families are given below and mean of daily expense per family is $88$ . Find the value of $f_{3}$ and $f_{4}$ .

Daily expense (in $₹$ )	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$	$120 - 140$
Number of families	$5$	$25$	$f_{3}$	$f_{4}$	$5$

EASY

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 48

A taxi driver records the distances of his journeys, to the nearest km, over the course of a long weekend shift.

Distance	$1 - 5$	$6 - 10$	$11 - 15$	$16 - 20$	$21 - 25$
Frequency	$10$	$6$	$8$	$5$	$2$

Write down the modal class.

EASY

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 50

Fifty students recorded how much they spent on eating out in one month (to the nearest dollar). The results are shown in the partially complete frequency table:

Class interval	Class boundaries	Frequency
$1 - 10$	$0.5 - 10.5$	$14$
$11 - 20$	$10.5 - 20.5$	$13$
$21 - 30$		$15$
$31 - 40$		$0$
$41 - 50$		$4$
$51 - 60$		$3$
$61 - 70$		$1$

State the modal class.

EASY

10th CBSE

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 13 - Statistics>Exercise>Q 53

Fifty students recorded how much they spent on eating out in one month (to the nearest dollar). The results are shown in the partially complete frequency table:

Class interval	Class boundaries	Frequency
$1 - 10$	$0.5 - 10.5$	$14$
$11 - 20$	$10.5 - 20.5$	$13$
$21 - 30$		$15$
$31 - 40$		$0$
$41 - 50$		$4$
$51 - 60$		$3$
$61 - 70$		$1$

State the class that contains the median.

Embibe Experts Solutions for Chapter: Statistics, Exercise 1: Exercise

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

Questions from Embibe Experts Solutions for Chapter: Statistics, Exercise 1: Exercise with Hints & Solutions

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