Ogive of More Than Type

Q. If the mean of the squares of first n natural number is 130 then the median of the first n natural number is?

Q. Consider the following statements
(1) Mode can be computed from histogram
(2) Median is not independent of change of scale
(3) Variance is independent of change of origin and scale .which of the above is/are correct

1. only (2)
2. only (1) and (2)
3. only (1)
4. (1), (2) and (3)

Q. The abscissa of intersection of 'less than' and 'more than' cumulative frequency curve is

1. Mean
2. Median
3. Mode
4. All

Q.

The "greater than" or '"more than" ogive is a falling graph.

1. True

2. False

Q.

Median is the:

1. Least common observation

2. Middlemost observation

3. Most common observation

4. Average of the two most common observations

Q. The following number of goals were scored by a team in a series of $10$ matches:
$2,3,4,5,0,1,3,3,4,3$
Find the mean, median and mode of these scores.

Q. Calculate the mode of the following using empirical formula:
17, 10, 12, 11, 10, 15, 14, 11, 12, 13.

Q.

The median for a data having 99 observations arranged in descending order is the _______________

1. Average of the 48th and 49th observations

2. 50th observation

3. 49th observation

4. 51st observation

Q.

The median for a data having 99 observations arranged in descending order is the _______________

1. Average of the 48^th and 49^th observations

2. 50^th observation

3. 51^st observation

4. 49^th observation

Q.

When the time came, with a good luck note to Jacob, Jack left on his time machine. When the machine came out of the portal, it was all dark. He hid his time machine in an empty store room and fell asleep.

Next morning, he realized he was in a church. The church officials soon came in and took Jack to the Reverend’s (Head of the church) house. While Jack was waiting, he noticed a guy in the garden working a sum. When Jack took an overlook, it was a quest to find median of a data set. What is median?

1. the value which lies in the middle when data is arranged in ascending order

2. the value which lies in the middle when data is not arranged

3. the value which lies in the middle when data is arranged in descending order

4. the value which is difference of first and last value

Q. If ab + c²; a $-$ b + c = b + c ; 1, then prove that b is the geometric mean between a and c.

Q. Assertion: The mean of 15 numbers is 25. If 6 is subtracted from each number, the mean of new numbers is 19.
Reason: Mode = 3(median) − 2(mean).
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true and Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. The following data gives the distribution of total monthly household expenditure of $200$ families of a village. find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:

Expenditure(in Rs)	Number of families
1000-1500	24
1500-2000	40
2000-2500	33
2500-3000	28
3000-3500	30
3500-4000	22
4000-4500	16
4500-5000	7