मराठी

In the formula x¯=a+h(∑fiui∑fi), for finding the mean of grouped frequency distribution, ui = ______. - Mathematics

Advertisements
Advertisements

प्रश्न

In the formula `barx = a + h((sumf_iu_i)/(sumf_i))`, for finding the mean of grouped frequency distribution, ui = ______.

पर्याय

  • `(x_i + a)/h`

  • `h(x_i - a)`

  • `(x_i - a)/h`

  • `(a - x_i)/h`

MCQ
रिकाम्या जागा भरा

उत्तर

In the formula `barx = a + h((sumf_iu_i)/(sumf_i))`, for finding the mean of grouped frequency distribution, ui = `underlinebb((x_i - a)/h)`.

Explanation:

According to the question,

`barx = a + h((sumf_iu_i)/(sumf_i))`

Above formula is a step deviation formula.

In the above formula,

xi is data values,

a is assumed mean,

h is class size,

When class size is same we simplify the calculations of the mean by computing the coded mean of u1, u2, u3 …..,

Where ui = `(x_i - a)/h`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Statistics and Probability - Exercise 13.1 [पृष्ठ १५७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
पाठ 13 Statistics and Probability
Exercise 13.1 | Q 4 | पृष्ठ १५७

संबंधित प्रश्‍न

The following table gives the number of boys of a particular age in a class of 40 students. Calculate the mean age of the students

Age (in years) 15 16 17 18 19 20
No. of students 3 8 10 10 5 4

Find the mean of each of the following frequency distributions

Class interval 50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
Frequency 18 12 13 27 8 22

The mean of the following frequency distribution is 62.8 and the sum of all the frequencies is 50. Compute the missing frequency f1 and f2.

Class 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 100 - 120
Frequency 5 f1 10 f2 7 8

Find the mean of the following frequency distribution table using a suitable method:

Class 20 – 30 30 – 40 40 – 50 50 – 60 60 - 70
Frequency 25 40 42 33 10

Find the mean of the following data using step-deviation method:

Class 500 – 520 520 – 540 540 – 560 560 – 580 580 – 600 600 – 620
Frequency 14 9 5 4 3 5

 


Weight of 60 eggs were recorded as given below:

Weight (in grams) 75 – 79 80 – 84 85 – 89 90 – 94 95 – 99 100 - 104 105 - 109
No. of eggs 4 9 13 17 12 3 2

Calculate their mean weight to the nearest gram.


If the mean of n observation ax1, ax2, ax3,....,axn is a`bar"X"`, show that `(ax_1 - abar"X") + (ax_2 - abar"X") + ...(ax_"n" - abar"X")` = 0.


If xi’s are the midpoints of the class intervals of grouped data, fi’s are the corresponding frequencies and `barx` is the mean, then `sum(f_ix_i - barx)` is equal to ______.


The distribution given below shows the runs scored by batsmen in one-day cricket matches. Find the mean number of runs.

Runs
scored
0 – 40 40 – 80 80 – 120 120 – 160 160 – 200
Number of
batsmen
12 20 35 30 23

The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 out of 6 observations are 2, 4, 5 and 7, then the remaining two observations are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×